Super-Horizon Scale Dynamics of Multi-Scalar Inflation
Open accessAbstract
We consider the dynamics of a multi-component scalar field on super-horizon scales in the context of inflationary cosmology. We present a method to solve the perturbation equations on super-horizon scales, i.e., in the long wavelength limit, by using only the knowledge of spatially homogeneous background solutions. In so doing, we clarify the relation between the perturbation equations in the long wavelength limit and the background equations. Then, as a natural extension of our formalism, we provide a strategy to study super-horizon scale perturbations beyond the standard linear perturbation theory. Namely, we reformulate our method so as to take into account the nonlinear dynamics of the scalar field.
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Scalar fields need not only couple through the potential but may also couple kinetically.
“Generally, the scalar fields need not only couple through the potential, but may also couple kinetically [44, 45, 46, 47].”
From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [46]
In the limit t_c → t_*, the nonlinear parameter for purely adiabatic perturbations in the two-field case coincides with the single field case result.
“which coincides with the single field case result [5, 36].”
From Non-Gaussianities in two-field inflation (2006) · cites this paper as [36]
Section 3 (pp. 12–15) develops a quasi-nonlinear treatment of multi-scalar perturbations, but the readable passages do not state a result for a nonlinear parameter in the limit t_c → t_*. Searches for that limit, a two-field adiabatic comparison, and f_NL found no passage establishing the claimed agreement with the single-field result; relevant formulas in our copy are undecoded. (LLM, conf=0.72)
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- [5]5. PLANCK homepage at http://astro.estec.esa.nl/SA-general/Projects/Cobras. - J. Garicia-Bellido and D. Wands, Phys. Rev. D53 (1996), 5437. - 3) D. Polarski and A. A. Starobinski, Phys. Rev. D50 (1994), 6123. - V. F. Mukhanov and P. J. Steinhardt, astro-ph/9710038. - 5) A. Taruya and Y. Nambu, gr-qc/9709035. - 4) M. Sasaki and E. D. Stewart, Prog. Theor. Phys. 96 (1996), 71. - 6) H. Kodama and T. Hamazaki, gr-qc/9712045. - 8) V. F. Mukhanov, Sov. Phys. -JETP 67 (1988), 1297. - 7) H. Kodama and M. Sasaki, Prog. Theor. Phys. Suppl. No. 78 (1984), 1. - 9) K. Tomita, Prog. Theor. Phys. 48 (1972), 1503; 50 (1973), 1285; 54 (1975), 730; 67 (1982), 1076. - K. Tomita and N. Deruelle, Phys. Rev. D50 (1994), 7216. - 10) D. S. Salopek and J. M. Stewart, Class. Quant. Grav. 9 (1992), 1943. - D. S. Salopek, J. M. Stewart and J. Parry, Phys. Rev. D48 (1993), 719. - J. Parry, D. S. Salopek and J. M. Stewart, Phys. Rev. D49 (1994), 2872. - Y. Nambu and A. Taruya, Class. Quant. Grav. 13 (1996), 705. · arXiv
Cited by
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Non-Gaussianities in two-field inflation
Vernizzi, F., & Wands, D. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/05/019 · Cited by 274 · see citing works
Review of Local Non‐Gaussianity from Multifield Inflation
Byrnes, C. T., & Choi, K.-Y. (2010) · Advances in Astronomy · doi:10.1155/2010/724525 · Cited by 178 · see citing works
Conditions for large non-Gaussianity in two-field slow-roll inflation
Byrnes, C. T., Choi, K.-Y., & Hall, L. M. H. (2008) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2008/10/008 · Cited by 143 · see citing works
Spectral running and non-Gaussianity from slow-roll inflation in generalized two-field models
Choi, K.-Y., Hall, L. M. H., & Bruck, C. V. D. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/02/029 · Cited by 98 · see citing works
- Authors
- Sasaki, M., & Tanaka, T.
- Affiliations
- The University of Osaka (JP)
- ORCID
- Venue
- Progress of Theoretical Physics
- Publisher
- Oxford University Press (OUP)
- Published
- 1998-05-01
- Volume
- 99
- Issue
- 5
- Pages
- 763-781
- ISSN
- 0033-068X (ISSN-L)
- 1347-4081
- OpenAlex
- W2147453274
- Cited by
- 440
- References
- 0
- Citations by year
- 2026: 17 · 2025: 26 · 2024: 17 · 2023: 16 · 2022: 11 · 2021: 15 · 2020: 9 · 2019: 9 · 2018: 18 · 2017: 14 · 2016: 19 · 2015: 21 · 2014: 22 · 2013: 29 · 2012: 30
- FWCI
- 1.90
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Progress of Theoretical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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 › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- long-wavelength limit, scalar perturbations, cosmic inflation, linear perturbation theory
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