Spinodal decomposition in quantum field theory
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Small fluctuations of the scalar (matter) fields around the classical inflaton lead to small fluctuations in the space-time geometry through Einstein's equations.
“Small fluctuations of the scalar (matter) fields around the classical inflaton lead to small fluctuations in the space-time geometry through Einstein's equations.”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [36]
Curvature perturbations and gravitational waves are both produced during inflation.
“There are two types fluctuations that are relevant: curvature perturbations and gravitational waves, both are produced during inflation.”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [36]
Scalar field fluctuations generate directly fluctuations in the curvature of space-time, while the expansion of the Universe generates gravitational waves.
“The fluctuations of the scalar field generate directly fluctuations in the curvature of space-time, while the expansion of the Universe, itself determined by the dynamics of the scalar field generates gravitational waves (see refs.[4, 36]).”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [36]
Inflation predicts a Gaussian distribution of perturbations.
“Inflation predicts a Gaussian distribution of perturbations (see sectionIV):”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [36]
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Self-citationQuantum field theory methods and inflationary universe models
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Quantum mechanics of the scalar field in the new inflationary universe
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Nucleation barriers, spinodals, and the Ginzburg criterion
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The later stages of spinodal decomposition and the beginnings of particle coarsening
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On the theory of spinodal decomposition in solid and liquid binary mixtures
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Spinodal decomposition (phase transitions via unstable states)
Skripov, V. P., & Skripov, A. V. (1979) · Soviet Physics Uspekhi · doi:10.1070/pu1979v022n06abeh005571 · Cited by 149 · see citing works
Dynamics of inflationary phase transition
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Small-angle scattering applications to materials science
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Does a phase transition in the early universe produce the conditions needed for inflation?
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Spinodal decomposition (phase transitions via unstable states)
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Entropy Production in the Inflationary Universe
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Quantum fluctuations and inflation
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Simple Realization of the Inflationary Expansion of the Universe
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Simple model for the inflationary expansion of the early Universe
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Path Integral Approach to Dissipative Processes
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How homogeneous was the Universe at the time of a grand-unified-theory phase transition?
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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
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
Noise and fluctuations in semiclassical gravity
Calzetta, E., & Hu, B. L. (1994) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.49.6636 · Cited by 220 · see citing works
Self-citationQuantum fluctuations, decoherence of the mean field, and structure formation in the early Universe
Calzetta, E., & Hu, B. L. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.52.6770 · Cited by 203 · see citing works
Self-citationPhase 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
Scalar field dynamics in Friedmann-Robertson-Walker spacetimes
Boyanovsky, D., Cormier, D., de Vega, H. J., Holman, R., Singh, A., & Srednicki, M. (1997) · Physical Review D · doi:10.1103/physrevd.56.1939 · Cited by 117 · see citing works
Phase transitions out of equilibrium: Domain formation and growth
Boyanovsky, D., Lee, D.-S., & Singh, A. (1993) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.48.800 · Cited by 117 · see citing works
Stochastic inflation: Quantum phase-space approach
Habib, S. (1992) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.46.2408 · Cited by 101 · see citing works
Ramsey, S. A., & Hu, B. L. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.678 · Cited by 91 · see citing works
Quantum rolling down out of equilibrium
Boyanovsky, D., & de Vega, H. J. (1993) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.47.2343 · Cited by 84 · see citing works
O (N) quantum fields in curved spacetime
Ramsey, S. A., & Hu, B. L. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.661 · Cited by 83 · see citing works
Bose-Einstein condensate collapse and dynamical squeezing of vacuum fluctuations
Calzetta, E., & Hu, B. L. (2003) · Physical Review A · doi:10.1103/physreva.68.043625 · Cited by 82 · see citing works
“When the exponential growth is the dominant factor, the mode is frozen; instead of oscillating, it is being amplified, a process which is analogous to the growth of fluctuations during spinodal decomposition [46].”
BackgroundSelf-citationEarly Universe Quantum Processes in BEC Collapse Experiments
Calzetta, E., & Hu, B. L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8889-y · Cited by 58 · see citing works
Self-citationNonequilibrium inflaton dynamics and reheating. II. Fermion production, noise, and stochasticity
Ramsey, S. A., Hu, B. L., & Stylianopoulos, A. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.6003 · Cited by 57 · 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
Defect 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
Self-citationInflaton decay in de Sitter spacetime
Boyanovsky, D., Holman, R., & Kumar, S. P. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.1958 · Cited by 51 · see citing works
Dynamics of phase transitions induced by a heat bath
Lee, D.-S., & Boyanovsky, D. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90004-9 · Cited by 46 · 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
Thermalization and pinch singularities in non-equilibrium quantum field theory
Bedaque, P. F. (1995) · Physics Letters B · doi:10.1016/0370-2693(94)01533-i · Cited by 34 · see citing works
Quantum spinodal decomposition
Boyanovsky, D. (1993) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.48.767 · Cited by 28 · see citing works
Counting defects in an instantaneous quench
Ibaceta, D., & Calzetta, E. (1999) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.60.2999 · Cited by 27 · see citing works
Self-citationNon-equilibrium dynamics of a scalar field with quantum backreaction
Kainulainen, K., & Koskivaara, O. (2021) · Journal of High Energy Physics · doi:10.1007/jhep12(2021)190 · Cited by 20 · see citing works
“However, such quanta may be produced copiously during out-of-equilibrium phase transitions [1, 2] by parametric resonance [3–6] or by spinodal instability [6–12], and they could significantly affect the evolution of the system [13–16].”
BackgroundPhase field simulation of spinodal decomposition in Zr–Nb alloys for implant materials
Wang, Y. H., Zhang, D., Pi, Z. P., Lin, J., & Wen, C. (2019) · Journal of Applied Physics · doi:10.1063/1.5096820 · Cited by 18 · see citing works
Tachyonic production of dark relics: a non-perturbative quantum study
Kainulainen, K., Koskivaara, O., & Nurmi, S. (2023) · Journal of High Energy Physics · doi:10.1007/jhep04(2023)043 · Cited by 14 · see citing works
“Some key examples include non-perturbative particle production processes during the reheating after inflation, via a parametric resonance [1– 5] or via spinodal instability [6–14], as well as the processes leading to the electroweak baryogenesis [15–22] and the leptogenesis mechanism [23–32].”
BackgroundReheating of the Universe and evolution of the inflaton
Mazzitelli, F. D., Paz, J. P., & Hasi, C. D. E. (1989) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.40.955 · Cited by 13 · see citing works
Quantum 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
Semiclassical Gravity and Mesoscopic PhysicsPreprint
Hu, B. L. (1995) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9511077 · Cited by 11 · see citing works
“This method has been applied to an analysis of reheating by particle creation [ 43 ] and first order phase transitions [44] in the inflationary universe , and to heavy-ion collisions in nuclear reactions [45].”
MethodQuantum formation of topological defects
Mukhopadhyay, M., Vachaspati, T., & Zahariade, G. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.102.116002 · Cited by 9 · see citing works
Is the effective potential effective for dynamics?
Herring, N., Cao, S., & Boyanovsky, D. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.109.105021 · Cited by 6 · see citing works
Tachyonic production of dark relics: classical lattice vs. quantum 2PI in Hartree truncation
Kainulainen, K., Nurmi, S., & Väisänen, O. (2024) · Journal of High Energy Physics · doi:10.1007/jhep10(2024)009 · Cited by 6 · see citing works
“Important examples include resonant phenomena [1–5] and tachyonic instabilities [6–12] in reheating, the electroweak baryogenesis [13– 19], the leptogenesis mechanism [20–29], and also many dark matter setups with very weakly coupled fields [30–37].”
BackgroundOut of Equilibrium Fields in Inflationary Dynamics. Density Fluctuations
Boyanovsky, D., Cormier, D., de Vega, H. J., Holman, R., & Kumar, S. P. (1998) · Springer eBooks · doi:10.1007/978-94-011-5046-0_4 · Cited by 6 · 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.”
BackgroundMethodCosmological scaling of precursor domain walls
Mukhopadhyay, M., Pujolàs, O., & Zahariade, G. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.110.063548 · Cited by 2 · see citing works
“Thermal phase transitions have been considered in the instantaneous quench limit [41–44].”
BackgroundHydrodynamic models of reheating
Elía, J. P., Cantarutti, L., Calzetta, E., & Mirón-Granese, N. (2026) · Physical review. D/Physical review. D. · doi:10.1103/7zm8-b5v6 · Cited by 1 · see citing works
“Because the instantaneous frequency may be imaginary, we may expect there will be a process of spinodal decomposition [79–82] along with the parametric amplification.”
Self-citationSauli, F. (2022) · Cambridge University Press eBooks · doi:10.1017/9781009291248.020 · Cited by 1 · see citing works
Phase Transitions Out of Equilibrium
Boyanovsky, D., & de Vega, H. J. (1994) · Springer eBooks · doi:10.1007/978-94-011-1060-0_4
Evolution of a kink-antikink ensemble in a quantum vacuum
Mukhopadhyay, M., Murase, K., Naruko, A., & Zahariade, G. (2025) · Physical review. D/Physical review. D. · doi:10.1103/5jpj-wl6l
“It should be mentioned that there exist regimes (the so-called spinodal instability , or domain wall precursor , regime) where a full quantum treatment is possible [20–28] but it is unclear to what extent this is relevant to realistic cosmological scenarios.”
- Authors
- Calzetta, E.
- Affiliations
- University of Alberta (CA)
- Corresponding author
- Calzetta, Esteban
- ORCID
- Calzetta, Esteban
- Venue
- Annals of Physics
- Publisher
- Elsevier BV
- Published
- 1989-02
- Volume
- 190
- Issue
- 1
- Pages
- 32-58
- ISSN
- 0003-4916 (ISSN-L)
- OpenAlex
- W2015131760
- Cited by
- 38
- References
- 41
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 4 · 2023: 1 · 2022: 1 · 2021: 1 · 2020: 1 · 2019: 1
- FWCI
- 0.30
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Annals of Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- spinodal decomposition, phi^4 theory, Bose-Einstein condensation, two-particle irreducible effective action, mean-field theory, phase separation
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