Scalar field dynamics in Friedmann-Robertson-Walker spacetimes
Open accessAbstract
We study the nonlinear dynamics of quantum fields in matter- and radiation-dominated universes, using the nonequilibrium field theory approach combined with the nonperturbative Hartree and the large $N$ approximations. We examine the phenomenon of explosive particle production due to spinodal instabilities and parametric amplification in expanding universes with and without symmetry breaking. For a variety of initial conditions, we compute the evolution of the inflaton, its quantum fluctuations, and the equation of state. We find explosive growth of quantum fluctuations, although particle production is somewhat sensitive to the expansion of the universe. In the large $N$ limit for symmetry-breaking scenarios, we determine generic late time solutions for any flat Friedmann-Robertson-Walker (FRW) cosmology. We also present a complete and numerically implementable renormalization scheme for the equation of motion and the energy momentum tensor in flat FRW cosmologies. In this scheme the renormalization constants are independent of time and of the initial conditions.
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There is a large body of observational evidence that suggests there is more matter than antimatter in the Universe up to scales of the order of the Hubble radius.
“There is a large body of observational evidence that suggests that the there is more matter than antimatter in the Universe up to scales of the order of the Hubble radius[44, 45].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [44]
The Introduction (p. 3) and Conclusions (p. 22) discuss particle production and matter-dominated equations of state, not an observed excess of matter over antimatter. Searches for antimatter, baryon asymmetry, observational evidence, and a Hubble-radius scale found no passage addressing the claim. (LLM, conf=0.77)
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Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433 · see citing works
Inflationary universe: A possible solution to the horizon and flatness problems
Guth, A. H. (1981) · Physical Review D · doi:10.1103/physrevd.23.347 · Cited by 9,983 · see citing works
(1990) · Cited by 4,363 · see citing works
Brownian Motion of a Quantum Oscillator
Schwinger, J. (1961) · Journal of Mathematical Physics · doi:10.1063/1.1703727 · Cited by 2,572 · see citing works
Kofman, L. A., Linde, A. D., & Starobinsky, A. A. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.3195 · Cited by 1,792 · see citing works
Particle Physics and Inflationary Cosmology
Linder, C. (1990) · CRC Press eBooks · doi:10.1201/b16971 · Cited by 1,474 · see citing works
Real- and imaginary-time field theory at finite temperature and density
Landsman, N. P., & van Weert, C. G. (1987) · Physics Reports · doi:10.1016/0370-1573(87)90121-9 · Cited by 1,078 · see citing works
Quantum fields in curved space
Stephenson, G. (1984) · Endeavour · doi:10.1016/0160-9327(84)90021-8 · Cited by 1,010 · see citing works
Particle production during out-of-equilibrium phase transitions
Traschen, J., & Brandenberger, R. (1990) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.42.2491 · Cited by 949 · see citing works
Baryon asymmetry in the inflationary universe
Dolgov, A. D., & Linde, A. D. (1982) · Physics Letters B · doi:10.1016/0370-2693(82)90292-1 · Cited by 520 · see citing works
Calzetta, E., & Hu, B. L. (1987) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.35.495 · Cited by 515 · see citing works
Quantum field theory methods and inflationary universe models
Brandenberger, R. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.1 · Cited by 494 · see citing works
Effective field equations for expectation values
Jordan, R. D. (1986) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.33.444 · Cited by 431 · see citing works
Classical Decay of the Inflaton
Khlebnikov, S., & Tkachev, I. I. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.219 · Cited by 413 · see citing works
Finite-temperature quantum field theory in Minkowski space
Niemi, A. J., & Semenoff, G. W. (1984) · Annals of Physics · doi:10.1016/0003-4916(84)90082-4 · Cited by 412 · see citing works
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1984) · Cited by 406 · see citing works
Dissipation via particle production in scalar field theories
Boyanovsky, D., de Vega, H. J., Holman, R., Lee, D.-S., & Singh, A. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.51.4419 · Cited by 374 · see citing works
Self-citationNonthermal Phase Transitions after Inflation
Kofman, L. A., Linde, A. D., & Starobinsky, A. A. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.1011 · Cited by 277 · see citing works
Analytic and numerical study of preheating dynamics
Boyanovsky, D., de Vega, H. J., Holman, R., & Salgado, J. F. J. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.54.7570 · Cited by 227 · see citing works
Self-citationNonequilibrium quantum fields in the large-Nexpansion
Cooper, F., Habib, S., Kluger, Y., Mottola, E., Paz, J. P., & Anderson, P. R. (1994) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.50.2848 · Cited by 213 · see citing works
Nonequilibrium dynamics of symmetry breaking in λΦ4 theory
Cooper, F., Habib, S., Kluger, Y., & Mottola, E. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.6471 · Cited by 183 · see citing works
Nonequilibrium evolution of scalar fields in FRW cosmologies
Boyanovsky, D., de Vega, H. J., & Holman, R. (1994) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.49.2769 · Cited by 167 · see citing works
Self-citationQuantum fields out of thermal equilibrium
Éboli, O. J. P., Jackiw, R., & Pi, S.-Y. (1988) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.37.3557 · Cited by 145 · see citing works
Phase transitions at preheating
Tkachev, I. I. (1996) · Physics Letters B · doi:10.1016/0370-2693(96)00297-3 · Cited by 119 · see citing works
Post-inflation reheating in an expanding universe
Kaiser, D. I. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.53.1776 · Cited by 119 · see citing works
Catastrophic Particle Production under Periodic Perturbation
Yoshimura, M. (1995) · Progress of Theoretical Physics · doi:10.1143/ptp.94.873 · Cited by 103 · see citing works
Real-time Feynman rules for gauge theories with fermions at finite temperature and density
Kobes, R., Semenoff, G. W., & Weiss, N. (1985) · The European Physical Journal C · doi:10.1007/bf01565184 · Cited by 95 · see citing works
Anderson, P. R. (1985) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.32.1302 · Cited by 94 · see citing works
Preheating in an expanding universe: Analytic results for the massless case
Kaiser, D. I. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.706 · Cited by 80 · see citing works
Evolution equation for the expectation value of a scalar field in spatially flat RW universes
Ringwald, A. (1987) · Annals of Physics · doi:10.1016/s0003-4916(87)80027-1 · Cited by 69 · see citing works
Particle production and dissipative cosmic field
Fujisaki, H., Kumekawa, K., Yamaguchi, M., & Yoshimura, M. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.53.6805 · Cited by 69 · see citing works
Out of equilibrium dynamics of an inflationary phase transition
Boyanovsky, D., Cormier, D., de Vega, H. J., & Holman, R. (1997) · Physical Review D · doi:10.1103/physrevd.55.3373 · Cited by 69 · see citing works
Self-citationSchrödinger-picture field theory in Robertson-Walker flat spacetimes
Guven, J., Lieberman, B., & Hill, C. T. (1989) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.39.438 · Cited by 67 · see citing works
Nonequilibrium dynamics: A renormalized computation scheme
Baacke, J., Heitmann, K., & Pätzold, C. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.2320 · Cited by 65 · see citing works
Reheating and thermalization in a simple scalar model
Son, D. T. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.54.3745 · Cited by 63 · see citing works
Path-integral formulation of real-time finite-temperature field theory
Kobes, R., & Kowalski, K. L. (1986) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.34.513 · Cited by 61 · see citing works
Spinodal decomposition in quantum field theory
Calzetta, E. (1989) · Annals of Physics · doi:10.1016/0003-4916(89)90260-1 · Cited by 38 · see citing works
Evolution equation for the Higgs field in an expanding universe
Semenoff, G. W., & Weiss, N. (1985) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.31.699 · Cited by 34 · see citing works
INITIAL VALUE PROBLEMS IN λφ4 FIELD THEORY IN A BACKGROUND GRAVITATIONAL FIELD
Cooper, F., & Mottola, E. (1987) · Modern Physics Letters A · doi:10.1142/s0217732387000793 · Cited by 30 · see citing works
Particle production and symmetry restoration in collisions of vacuum bubbles
Kolb, E. W., & Riotto, A. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.3313 · Cited by 27 · see citing works
Erice Lectures on Inflationary ReheatingPreprint
Boyanovsky, D., de Vega, H. J., & Holman, R. (1997) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/9701304 · Cited by 24 · see citing works
Self-citationFinite temperature scalar field theory in the early universe
Leutwyler, H., & Mallik, S. (1991) · Annals of Physics · doi:10.1016/0003-4916(91)90235-z · Cited by 20 · see citing works
Preheating in FRW UniversesPreprint
Boyanovsky, D., Cormier, D., de Vega, H. J., Holman, R., Singh, A., & Srednicki, M. (1996) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/9609527 · Cited by 9 · see citing works
Self-citationClassical Preheating and DecoherencePreprint
Son, D. T. (1996) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/9601377 · Cited by 6 · see citing works
Baryogenesis and thermal history after inflationPreprint
Yoshimura, M. (1996) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/9605246 · Cited by 6 · see citing works
Preheating and Reheating in Inflationary Cosmology: a pedagogical surveyPreprint
Boyanovsky, D., de Vega, H. J., Holman, R., et al. (1996) · arXiv (Cornell University) · doi:10.48550/arxiv.astro-ph/9609007 · Cited by 5 · see citing works
Self-citationPreheating and symmetry restoration in collisions of vacuum bubbles
Kolb, E. W., & Riotto, A. (1996) · CERN Document Server (European Organization for Nuclear Research) · doi:10.48550/arxiv.astro-ph/9602095
Preheating in an Expanding Universe: Analytic Results for the Massless Case
Kaiser, D. I. (1997) · arXiv · doi:10.48550/arxiv.hep-ph/9702244
The Universe after inflation: the wide resonance case
Khlebnikov, S. Y., & Tkachev, I. I. (1996) · arXiv · doi:10.48550/arxiv.hep-ph/9608458
Nonequilibrium Dynamics of Symmetry Breaking in Lambda Phi^4 Field Theory
Cooper, F., Habib, S., Kluger, Y., & Mottola, E. (1996) · arXiv · doi:10.48550/arxiv.hep-ph/9610345
Flagged first, then by citations
Research works printed but not linked: 2
- [6][6] L. Kofman, A. Linde and A. Starobinsky, Phys. Rev. Lett. 73 , 3195 (1994) and 76 , 1011 (1996); gr-qc/9508019 (1995). L. Kofman, astro-ph/9605155 (1996). - · arXiv
- [21][21] For a thorough exposition of non-equilibrium methods in cosmology see, for example: E. Calzetta and B.-L. Hu, Phys. Rev. D35 , 495 (1988); ibid D37 , 2838 (1988); J. P. Paz, Phys. Rev. D41 , 1054 (1990); ibid D42 , 529 (1990); B.-L. Hu in Bannf/Cap Workshop on Thermal Field Theories: proceedings , edited by F.C. Khanna, R. Kobes, G. Kunstatter, H. Umezawa (World Scientific, Singapore, 1994), p.309 and in the Proceedings of the Second Paris Cosmology Colloquium, Observatoire de Paris , edited by H. J. de Vega and N. S´ anchez (World Scientific, Singapore, 1995), p.111 and references therein. -
Cited by
Sorted by citations
Inflation dynamics and reheating
Bassett, B. A., Tsujikawa, S., & Wands, D. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.537 · Cited by 1,022 · see citing works
Gravitational wave background from reheating after hybrid inflation
García-Bellido, J., Figueroa, D. G., & Sastre, A. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.043517 · Cited by 278 · see citing works
Equation of state and beginning of thermalization after preheating
Podolsky, D., Felder, G., Kofman, L. A., & Peloso, M. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.023501 · Cited by 225 · see citing works
Parametric Amplification of Gravitational Fluctuations during Reheating
Finelli, F., & Brandenberger, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1362 · Cited by 191 · see citing works
Cosmological Consequences of MSSM flat directions.
Enqvist, K., & Mazumdar, A. (2002) · CERN Document Server (European Organization for Nuclear Research) · Cited by 176 · see citing works
Inflaton decay and heavy particle production with negative coupling
GREENE, B. R., Prokopec, T., & Roos, T. G. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.6484 · Cited by 150 · see citing works
Phase Transitions in the Early and Present Universe
Boyanovsky, D., de Vega, H. J., & Schwarz, D. J. (2006) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.56.080805.140539 · Cited by 146 · see citing works
Self-citationEvent-by-event fluctuations from decay of a Polyakov loop condensate
Dumitru, A., & Pisarski, R. D. (2001) · Physics Letters B · doi:10.1016/s0370-2693(01)00286-6 · Cited by 144 · see citing works
Symmetry breaking and false vacuum decay after hybrid inflation
García-Bellido, J., Pérez, M. G., & Antonio González-arroyo, A. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.67.103501 · Cited by 139 · see citing works
Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations
Boyanovsky, D., de Vega, H. J., & Sanchez, N. G. (2006) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2006.04.010 · Cited by 129 · see citing works
Self-citationChern-Simons production during preheating in hybrid inflation models
García-Bellido, J., Pérez, M. G., & Antonio González-arroyo, A. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.69.023504 · Cited by 113 · see citing works
Primordial black hole production due to preheating
Green, A. M., & Malik, K. A. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.021301 · Cited by 107 · see citing works
Classical approximation to quantum cosmological correlations
van der Meulen, M., & Jan Smit, A. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/11/023 · Cited by 104 · see citing works
“CTP formalism to interacting fields in cosmology see [39, 40, 41, 42, 43, 44, 45, 46, 47, 48 , 49, 50, 51, 52, 53, 54, 55, 56]).”
Nonequilibrium dynamics of fermions in a spatially homogeneous scalar background field
Baacke, J., Heitmann, K., & Pätzold, C. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.58.125013 · Cited by 103 · see citing works
Effective Potential for Quantum Scalar Fields in a de Sitter Geometry
Serreau, J. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.191103 · Cited by 100 · see citing works
Energy-momentum tensor of particles created in an expanding universe
Habib, S., Molina-Parı́s, C., & Mottola, E. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.024010 · Cited by 93 · see citing works
Boyanovsky, D., de Vega, H. J., & Sanchez, N. G. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.103006 · Cited by 92 · see citing works
Self-citationNonperturbative quantum dynamics of a new inflation model
Boyanovsky, D., Cormier, D., de Vega, H. J., Holman, R., & Kumar, S. P. (1998) · Physical Review D · doi:10.1103/physrevd.57.2166 · Cited by 86 · see citing works
Self-citationResonant particle production with nonminimally coupled scalar fields in preheating after inflation
Tsujikawa, S., Maeda, K.-I., & Torii, T. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.60.063515 · Cited by 88 · see citing works
Exact and truncated dynamics in nonequilibrium field theory
Gert Aarts, A., Bonini, G. F., & WETTERICH, C. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.025012 · Cited by 79 · see citing works
Inflationary preheating and primordial black holes
Bassett, B. A., & Tsujikawa, S. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.123503 · Cited by 77 · see citing works
Real-time dynamics with fermions on a lattice
Gert Aarts, A., & Jan Smit, A. (1999) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00320-x · Cited by 77 · see citing works
Scalar field correlator in de Sitter space at next-to-leading order in a 1/N expansion
Gautier, F., & Serreau, J. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.105035 · Cited by 74 · see citing works
Particle decay in inflationary cosmology
Boyanovsky, D., & de Vega, H. J. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.063508 · Cited by 71 · see citing works
Self-citationTransition to order after hilltop inflation
Gleiser, M., & Graham, N. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.083502 · Cited by 71 · see citing works
Characters of different secular effects in various patches of de Sitter space
Akhmedov, E. T. O., Moschella, U., & Popov, F. K. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.99.086009 · Cited by 71 · see citing works
Schwinger-Dyson approach to nonequilibrium classical field theory
Blagoev, K. B., Cooper, F., Dawson, J. F., & Mihaila, B. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.125003 · Cited by 67 · see citing works
Classical approximation to quantum cosmological correlationsPreprint
van der Meulen, M., & Jan Smit, A. (2012) · Cited by 67 · see citing works
Resonant decay of flat directions
Postma, M., & Mazumdar, A. (2004) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2004/01/005 · Cited by 66 · see citing works
Boyanovsky, D., de Vega, H. J., Holman, R., & Salgado, J. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.59.125009 · Cited by 65 · see citing works
Self-citationPreheating with nonminimally coupled scalar fields in higher-curvature inflation models
Tsujikawa, S., Maeda, K.-I., & Torii, T. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.60.123505 · Cited by 64 · see citing works
A simple operator check of the effective fermion mode function during inflation
Miao, S. P., & Woodard, R. P. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/14/145009 · Cited by 62 · see citing works
Resonance structure for preheating with massless fields
Kaiser, D. I. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.702 · Cited by 61 · see citing works
“This ultraviolet divergence may be treated in either of two ways: we may undertake a formal renormalization, as done, for example, in [9] (see also [10]), or we may use the “physical” criterion that the energy density contained in the vacuum fluctuations at the beginning of preheating must be less than that contained…”
MethodAre black holes overproduced during preheating?
Suyama, T., Tanaka, T., Bassett, B. A., & Kudoh, H. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.063507 · Cited by 59 · see citing works
Preheating and the Einstein field equations
Parry, M., & Easther, R. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.59.061301 · Cited by 58 · see citing works
Resumming the large-Napproximation for time evolving quantum systems
Mihaila, B., Dawson, J. F., & Cooper, F. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.096003 · Cited by 58 · see citing works
Boyanovsky, D., Destri, C., & de Vega, H. J. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.69.045003 · Cited by 57 · see citing works
Self-citationPreheating in supersymmetric hybrid inflation
Mar Bastero-gil, A., King, S. F., & Sanderson, J. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.60.103517 · Cited by 57 · see citing works
Cosmological dynamics in f(R) gravity
Guo, J.-Q., & Frolov, A. V. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.124036 · Cited by 56 · see citing works
“[13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28].”
Infrared dynamics of massive scalars from the complementary series in de Sitter space
Akhmedov, E. T. O., Moschella, U., Pavlenko, K., & Popov, F. K. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.96.025002 · Cited by 56 · see citing works
Asymptotic dynamics in scalar field theory: Anomalous relaxation
Boyanovsky, D., Destri, C., de Vega, H. J., Holman, R., & Salgado, J. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.7388 · Cited by 55 · see citing works
Self-citationDefect formation and critical dynamics in the early Universe
Stephens, G. J., Calzetta, E., Hu, B. L., & Ramsey, S. A. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.59.045009 · Cited by 53 · see citing works
Desroche, M., Felder, G., Kratochvil, J. M., & Linde, A. D. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.103516 · Cited by 47 · see citing works
Particle production and effective thermalization in inhomogeneous mean field theory
Gert Aarts, A., & Jan Smit, A. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.025002 · Cited by 47 · see citing works
Renormalization of nonequilibrium dynamics in FRW cosmology
Baacke, J., Heitmann, K., & Pätzold, C. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.6556 · Cited by 47 · see citing works
Boyanovsky, D., Destri, C., de Vega, H. J., & Sanchez, N. G. (2009) · International Journal of Modern Physics A · doi:10.1142/s0217751x09044553 · Cited by 46 · see citing works
Self-citationA simple operator check of the effective fermion mode function during inflation
Miao, S. P., Woodard, R. P., Quantum Gravity, S. A. E. P., & Natuurkunde, D. (2008) · Utrecht University Repository (Utrecht University) · Cited by 46 · see citing works
Quantum field thermalization in expanding backgrounds
Anders Tranberg, B. (2008) · Journal of High Energy Physics · doi:10.1088/1126-6708/2008/11/037 · Cited by 46 · see citing works
Phase Transitions from Preheating in Gauge Theories
Rajantie, A. K., & Copeland, E. J. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.916 · Cited by 45 · see citing works
Contribution of the hybrid inflation waterfall to the primordial curvature perturbation
Lyth, D. H. (2011) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2011/07/035 · Cited by 44 · see citing works
Choice of initial states in nonequilibrium dynamics
Baacke, J., Heitmann, K., & Pätzold, C. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.6398 · Cited by 43 · see citing works
Numerical approximations using Chebyshev polynomial expansions: El-gendi's method revisited
Mihaila, B., & Mihaila, I. (2002) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/35/3/317 · Cited by 40 · see citing works
Cosmology Is Not a Renormalization Group Flow
Woodard, R. P. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.081301 · Cited by 39 · see citing works
Preheating of the nonminimally coupled inflaton field
Tsujikawa, S., Maeda, K.-I., & Torii, T. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.103501 · Cited by 36 · see citing works
Spinodal decomposition and inflation: Dynamics and metric perturbations
Cormier, D., & Holman, R. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.023520 · Cited by 36 · see citing works
Self-citationPreheating curvature perturbations with a coupled curvaton
Mar Bastero-gil, A., Clemente, V. D., & King, S. F. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.023501 · Cited by 36 · see citing works
Moreau, G., & Serreau, J. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.99.025011 · Cited by 35 · see citing works
The δ N formula is the dynamical renormalization group
Dias, M., Ribeiro, R. H., & Seery, D. (2013) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2013/10/062 · Cited by 34 · see citing works
The δN formula is the dynamical renormalization group
Ribeiro, R. H. (2013) · Sussex Research Online (University of Sussex) · Cited by 32 · see citing works
Physical momentum representation of scalar field correlators in de Sitter space
Parentani, R., & Serreau, J. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.045020 · Cited by 31 · see citing works
Dynamics of coupled bosonic systems with applications to preheating
Cormier, D., Heitmann, K., & Mazumdar, A. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.65.083521 · Cited by 29 · see citing works
Self-citationRenormalization of the nonequilibrium dynamics of fermions in a flat FRW universe
Baacke, J., & Pätzold, C. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.084008 · Cited by 27 · see citing works
Inflationary Reheating in Grand Unified Theories
Bassett, B. A., & Tamburini, F. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.2630 · Cited by 26 · see citing works
Boyanovsky, D., Cao, F. J., & de Vega, H. J. (2002) · Nuclear Physics B · doi:10.1016/s0550-3213(02)00238-9 · Cited by 23 · see citing works
Self-citationUltraviolet cascade in the thermalization of the classical ϕ4 theory in 3+1 dimensions
Destri, C., & de Vega, H. J. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.025014 · Cited by 24 · see citing works
Renormalization of nonequilibrium dynamics at large N and finite temperature
Baacke, J., Heitmann, K., & Pätzold, C. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.6406 · Cited by 23 · see citing works
Magnetic field generation from non-equilibrium phase transitionsPreprint
Boyanovsky, D., de Vega, H. J., & Simionato, M. (2002) · arXiv (Cornell University) · doi:10.1103/physrevd.67.023502 · Cited by 22 · see citing works
Self-citationSpinodal Instabilities and the Dark Energy Problem
Cormier, D., & Holman, R. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.5936 · Cited by 21 · see citing works
Self-citationLarge scale magnetogenesis from a non-equilibrium phase transition in the radiation dominated eraPreprint
Boyanovsky, D., de Vega, H. J., & Simionato, M. (2002) · arXiv (Cornell University) · doi:10.1103/physrevd.67.123505 · Cited by 20 · see citing works
Self-citationStudy of the preheating phase of chaotic inflation
Anderson, P. R., Molina-Parı́s, C., Evanich, D., & Cook, G. B. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.78.083514 · Cited by 20 · see citing works
Dileptons from disoriented chiral condensates
Kluger, Y., Koch, V., Randrup, J., & Wang, X.-N. (1998) · Physical Review C · doi:10.1103/physrevc.57.280 · Cited by 20 · see citing works
Thermodynamics of massless particles in curved spacetime
Filho, A. A. A. (2023) · International Journal of Geometric Methods in Modern Physics · doi:10.1142/s0219887823502262 · Cited by 19 · see citing works
Reheating in Inflationary Cosmology
Linde, A. D. (1998) · Springer eBooks · doi:10.1007/978-94-011-5046-0_3 · Cited by 19 · see citing works
Analysis of the evolution of curvature perturbations in preheating by using δ N formalism
Suyama, T., & Yokoyama, S. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/6/015 · Cited by 19 · see citing works
Boyanovsky, D., de Vega, H. J., & Simionato, M. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.085007 · Cited by 18 · see citing works
Self-citationChodos, A., Cooper, F., Mao, W., & Singh, A. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.096010 · Cited by 17 · see citing works
Self-citationQuantum heating as an alternative of reheating
Akhmedov, E. T. O., & Bascone, F. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.97.045013 · Cited by 16 · see citing works
Quantum inflaton, primordial perturbations, and CMB fluctuations
Cao, F. J., de Vega, H. J., & Sanchez, N. G. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.083528 · Cited by 15 · see citing works
Spinodal effect in the natural inflation model
Tsujikawa, S., & Torii, T. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.043505 · Cited by 14 · see citing works
Out of equilibrium nonperturbative quantum field dynamics in homogeneous external fields
Cao, F. J., & de Vega, H. J. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.65.045012 · Cited by 14 · see citing works
Out-of-equilibrium evolution of quantum fields in the hybrid model with quantum back reaction
Baacke, J., & Heinen, A. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.69.083523 · Cited by 13 · see citing works
Baacke, J., & Pätzold, C. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.024016 · Cited by 12 · see citing works
Time evolution of cascade decay
Boyanovsky, D., & Lello, L. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/6/063050 · Cited by 11 · see citing works
Self-citationQuantum fluctuations of axions
Kolb, E. W., Singh, A., & Srednicki, M. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.58.105004 · Cited by 11 · see citing works
Self-citationQuantum corrections to inflaton dynamics: The semiclassical approach and the semiclassical limit
Herranen, M., Osland, A., & Anders Tranberg, B. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.083530 · Cited by 10 · see citing works
Coupled scalar fields in a flat FRW universe: renormalisation
Baacke, J., Covi, L., & Kevlishvili, N. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/08/026 · Cited by 10 · see citing works
Quantum quenches during inflation
Carrilho, P., & Ribeiro, R. H. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.95.043516 · Cited by 9 · see citing works
Dynamics of symmetry breaking in FRW cosmologies: Emergence of scaling
Boyanovsky, D., & de Vega, H. J. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.105014 · Cited by 9 · see citing works
Self-citationStationary phase approximation and instanton-like states for cosmological in-in path integrals
Kaya, A. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.86.123511 · Cited by 8 · see citing works
Nonequilibrium dynamics in quantum field theory at high density: The “tsunami”
Cao, F. J., & de Vega, H. J. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.045021 · Cited by 8 · see citing works
Boyanovsky, D., Holman, R., & Hutasoit, J. A. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.085018 · Cited by 7 · see citing works
Self-citationBreakdown of the semiclassical approximation during the early stages of preheating
Anderson, P. R., Molina-Parı́s, C., & Sanders, D. H. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.083522 · Cited by 6 · see citing works
Quantum quench, large N, and symmetry restoration
Das, D., & Dey, B. (2020) · Journal of High Energy Physics · doi:10.1007/jhep07(2020)107 · Cited by 6 · see citing works
“Large N methods have previously been used to study quenches in interacting theories [3, 5, 6, 21, 22].”
BackgroundMethodParticle production in the oscillating inflation model
Tsujikawa, S. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.083516 · Cited by 6 · see citing works
Parallel algorithm with spectral convergence for nonlinear integro-differential equations
Mihaila, B., & Shaw, R. E. (2002) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/35/25/311 · Cited by 5 · see citing works
Martin, M. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.67.083503 · Cited by 4 · see citing works
Gauge fields out of equilibrium: A gauge invariant formulation and the Coulomb gauge
Heitmann, K. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.045003 · Cited by 4 · see citing works
Back reaction of a long range force on a Friedmann-Robertson-Walker background
Brisudová, M., & Kinney, W. H. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.103516 · Cited by 4 · see citing works
Ishihara, M. (2020) · The European Physical Journal A · doi:10.1140/epja/s10050-020-00156-2 · Cited by 3 · see citing works
Quantum tachyonic preheating, revisited
Anders Tranberg, B., & Ungersbäck, G. (2024) · Journal of High Energy Physics · doi:10.1007/jhep05(2024)128 · Cited by 3 · see citing works
“Early work considering such a transition include [19–21], with a substantial body of work based on the Hartree approximation (see for instance [22–24]), which in the 2PI-language is LO in a coupling expansion.”
Background
- Authors
- Boyanovsky, D., Cormier, D., de Vega, H. J., Holman, R., Singh, A., & Srednicki, M.
- Affiliations
- University of Pittsburgh (US)
- Carnegie Mellon University (US)
- University of California, Santa Barbara (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1997-08-15
- Volume
- 56
- Issue
- 4
- Pages
- 1939-1957
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2026547641
- Cited by
- 117
- References
- 41
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 2 · 2023: 2 · 2020: 2 · 2019: 2 · 2018: 1 · 2017: 3 · 2015: 3 · 2014: 2 · 2013: 4 · 2012: 2
- FWCI
- 12.38
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DEFG0291ER40682)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- scalar field dynamics, FRW cosmology, non-equilibrium field theory, Hartree approximation, large-N approximation, spinodal instability, parametric amplification, inflaton, quantum fluctuations, equation of state, symmetry breaking, renormalization scheme, matter-dominated universe, radiation-dominated universe
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