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Spontaneously broken continuous symmetries in hyperbolic (or open) de Sitter spacetime

Ratra, Bharat·1994·Physical Review D
DOI 10.1103/physrevd.50.5252
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Abstract

The functional Schr\"odinger approach is used to study scalar field theory in hyperbolic (or open) de Sitter spacetime. While on intermediate length scales (small compared to the spatial curvature length scale) the massless minimally coupled scalar field two-point correlation function does have a term that varies logarithmically with scale, as in flat and closed de Sitter spacetime, the spatial curvature tames the infrared behavior of this correlation function at larger scales in the open model. As a result, and contrary to what happens in flat and closed de Sitter spacetime, spontaneously broken continuous symmetries are not restored in open de Sitter spacetime (with more than one spatial dimension).

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Metadata

Authors
Ratra, B.
Affiliations
Princeton University (US)
Corresponding author
Ratra, Bharat
ORCID
Ratra, Bharat
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1994-10-15
Volume
50
Issue
8
Pages
5252-5261
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.50.5252
OpenAlex
W2063961361
Cited by
15
References
0
Citations by year
2022: 2 · 2021: 2 · 2017: 1 · 2013: 1
FWCI
1.53
Type
journal article
Language
en
Open access
closed
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)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
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
spontaneous symmetry breaking, continuous symmetries, hyperbolic spacetime, scalar field theory, two-point correlation function, infrared behavior, spatial curvature, functional Schrödinger equation

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CoChat. (2026). Citation check: Spontaneously broken continuous symmetries in hyperbolic (or open) de Sitter spacetime. https://app.cochat.ai/papers/10.1103/physrevd.50.5252
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Ratra, B. (1994). Spontaneously broken continuous symmetries in hyperbolic (or open) de Sitter spacetime. Physical Review D. https://doi.org/10.1103/physrevd.50.5252