INFLATON POTENTIAL RECONSTRUCTION AND GENERALIZED EQUATIONS OF STATE
Open accessAbstract
We extend a previous analysis concerning cosmological fluids with generalized equations of state in order to study inflationary scenarios. In the framework of the slow-roll approximation we find the expressions for the perturbation parameters ε, η and the density perturbation spectra in terms of the adiabatic index γ(a) as a function of the universe scale factor. This connection allows one to find straightforwardly γ(a) corresponding, for example, to the simplest chaotic model and to the Harrison-Zeldovich potential and shows its capability to be applied to more complicated situations. Finally, we use this description to develop a new approach to the early universe dynamics, based on a 1/N expansion, where N is the e-fold number. To this end, we introduce a set of suitable dimensionless variables and show that at the zeroth order in /1N, an improved slow-roll approximation is obtained.
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In the standard model, weak interactions only involve left handed quark and lepton currents, so there is a quantum mechanical anomaly in their conservation laws.
“Since the weak interactions only involve the left handed quark (baryon) and lepton currents there is a quantum mechanical anomaly in their conservation laws[49]:”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [49]
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Reconstructing the inflaton potential—an overview
Lidsey, J. E., Liddle, A. R., Kolb, E. W., Copeland, E. J., Barreiro, T., & Abney, M. (1997) · Reviews of Modern Physics · doi:10.1103/revmodphys.69.373 · Cited by 812 · see citing works
“Similar work on reconstruction to this level of approximation has been done by Adams and Freese (1995), Mielke and Schunck (1995) and Mangano, Miele, and Stornaiolo (1995).”
MethodPhase 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
Scaling solutions and reconstruction of scalar field potentials
Rubano, C., & Barrow, J. D. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.127301 · Cited by 97 · see citing works
Reconstruction of hessence dark energy and the latest type Ia supernovae gold dataset
Wei, H., Tang, N., & Zhang, S. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.75.043009 · Cited by 84 · see citing works
Modifications of the BTZ black hole by a dilaton and scalar
Chan, K. C. K. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.3564 · Cited by 81 · see citing works
Reconstructing the dark matter and dark energy interaction scenarios from observations
Yang, W., Banerjee, N., Paliathanasis, A., & Pan, S. (2019) · Physics of the Dark Universe · doi:10.1016/j.dark.2019.100383 · Cited by 63 · see citing works
“Such an approach has been applied in other facets of cosmology such as the reconstruction of the inflationary model [60, 61].”
MethodBoyanovsky, 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
Reconstructions of the dark-energy equation of state and the inflationary potential
Barrow, J. D., & Paliathanasis, A. (2018) · General Relativity and Gravitation · doi:10.1007/s10714-018-2402-4 · Cited by 44 · see citing works
Clarifying inflation models: Slow roll as an expansion in 1/Nefolds
Boyanovsky, D., de Vega, H. J., & Sanchez, N. G. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.023008 · Cited by 35 · see citing works
Boyanovsky, D., de Vega, H. J., Ho, C. M., & Sanchez, N. G. (2007) · arXiv (Cornell University) · doi:10.1103/physrevd.75.123504 · Cited by 6 · see citing works
Problems for observing the inflaton potential
de Oliveira, H. P., & Terrero-Escalante, C. A. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/01/024 · Cited by 6 · see citing works
Scaling behavior of observables as a model characteristic in multifield inflation
Lynker, M., & Schimmrigk, R. (2023) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2023/04/039 · Cited by 1 · see citing works
“In a somewhat different context the 1/N parameter was suggested in early work in the framework of singlefield inflation as an expansion parameter [24, 25] and later in [26, 27].”
Method
- Authors
- MANGANO, G., MIELE, G., & STORNAIOLO, C.
- Affiliations
- Istituto Nazionale di Fisica Nucleare, Sezione di Napoli (IT)
- Venue
- Modern Physics Letters A
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1995-09-07
- Volume
- 10
- Issue
- 27
- Pages
- 1977-1988
- ISSN
- 0217-7323 (ISSN-L)
- 1793-6632
- OpenAlex
- W2095183622
- Cited by
- 12
- References
- 6
- Citations by year
- 2023: 1 · 2019: 1 · 2018: 1
- FWCI
- 0.81
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Modern Physics Letters A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- 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 › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Keywords
- slow-roll approximation, adiabatic index, chaotic inflation, 1/N expansion, early universe dynamics, cosmological perturbations
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