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Cited by 809Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics

The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

Equilibrium state of a self-interacting scalar field in the de Sitter background

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Starobinsky, Alexei A., Yokoyama, Jun’ichi·1994·Physical Review D
DOI 10.1103/physrevd.50.6357
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Abstract

The behavior of a weakly self-interacting scalar field with a small mass in the de Sitter background is investigated using the stochastic approach (including the case of a double-well interaction potential). The existence of the de Sitter-invariant equilibrium quantum state of the scalar field in the presence of the interaction is shown for any sign of the mass term. The stochastic approach is further developed to produce a method of calculating an arbitrary anomalously large correlation function of the scalar field in the de Sitter background, and expressions for the two-point correlation function in the equilibrium state, correlation time, and spatial physical correlation radius are presented. The latter does not depend on time, which implies that the characteristic size of domains with positive and negative values of the scalar field remains the same on average in the equilibrium state in spite of the expansion of the t=const hypersurface of the de Sitter space-time.

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Crossref · 10.1103/physrevd.50.6357

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2 of 2 references verified0 citation errors · 0 not checkable

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  • In the absence of a large Higgs mass term, the evolution of the long wavelength modes of the h field is controlled by the Langevin equation.

    “In the absence of a large Higgs mass term, the evolution of the long wavelength modes of the h field is controlled by the Langevin equation [48]”

    From The cosmological Higgstory of the vacuum instability (2015) · cites this paper as [48]

Citations

Cites

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Research works printed but not linked: 24

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Metadata

Authors
Starobinsky, A. A., & Yokoyama, J.
Affiliations
  • Landau Institute for Theoretical Physics (RU)
  • Kyoto University (JP)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1994-11-15
Volume
50
Issue
10
Pages
6357-6368
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.50.6357
OpenAlex
W2595209810
Cited by
809
References
2
Citations by year
2026: 40 · 2025: 57 · 2024: 62 · 2023: 60 · 2022: 57 · 2021: 45 · 2020: 61 · 2019: 50 · 2018: 62 · 2017: 33 · 2016: 40 · 2015: 35 · 2014: 21 · 2013: 22 · 2012: 32
FWCI
0.49
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • PubMed (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 › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
self-interacting scalar field, de Sitter space, stochastic approach, double-well potential, two-point correlation function, correlation time, correlation radius, de Sitter expansion

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