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Title: Chiral symmetry breaking in the gauged NJL model in curved spacetime

Abstract

Using the renormalization group (RG) approach and the equivalency between the class of gauge-Higgs-Yukawa models and the gauged Nambu{endash}Jona-Lasinio (NJL) model, we study the gauged NJL model in curved space-time. The behavior of the scalar-gravitational coupling constant {xi}({ital t}) in both theories is discussed. The RG-improved effective potential of the gauged NJL model in curved spacetime is found. The curvature at which chiral symmetry in the gauged NJL model is broken is obtained explicitly in a remarkably simple form. The powerful RG-improved effective potential formalism leads to the same results as ladder Schwinger-Dyson equations which have not been formulated yet in curved spacetime. {copyright} {ital 1996 The American Physical Society.}

Authors:
 [1];  [2]
  1. Institute of Theoretical Physics and Center for Theoretical Sciences, Leipzig University, Augustusplatz 10, D-04109 Leipzig (Germany)
  2. Department ECM, Facultat de Fisica, Universidad de Barcelona, Diagonal 647, 08028 Barcelona (Spain)
Publication Date:
OSTI Identifier:
284839
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 53; Journal Issue: 12; Other Information: PBD: Jun 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; UNIFIED GAUGE MODELS; CHIRAL SYMMETRY; SYMMETRY BREAKING; RENORMALIZATION; HIGGS MODEL; YUKAWA POTENTIAL; SPACE-TIME; SCALARS; COUPLING CONSTANTS; SCHWINGER FUNCTIONAL EQUATIONS

Citation Formats

Geyer, B, and Odintsov, S D. Chiral symmetry breaking in the gauged NJL model in curved spacetime. United States: N. p., 1996. Web. doi:10.1103/PhysRevD.53.7321.
Geyer, B, & Odintsov, S D. Chiral symmetry breaking in the gauged NJL model in curved spacetime. United States. https://doi.org/10.1103/PhysRevD.53.7321
Geyer, B, and Odintsov, S D. 1996. "Chiral symmetry breaking in the gauged NJL model in curved spacetime". United States. https://doi.org/10.1103/PhysRevD.53.7321.
@article{osti_284839,
title = {Chiral symmetry breaking in the gauged NJL model in curved spacetime},
author = {Geyer, B and Odintsov, S D},
abstractNote = {Using the renormalization group (RG) approach and the equivalency between the class of gauge-Higgs-Yukawa models and the gauged Nambu{endash}Jona-Lasinio (NJL) model, we study the gauged NJL model in curved space-time. The behavior of the scalar-gravitational coupling constant {xi}({ital t}) in both theories is discussed. The RG-improved effective potential of the gauged NJL model in curved spacetime is found. The curvature at which chiral symmetry in the gauged NJL model is broken is obtained explicitly in a remarkably simple form. The powerful RG-improved effective potential formalism leads to the same results as ladder Schwinger-Dyson equations which have not been formulated yet in curved spacetime. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevD.53.7321},
url = {https://www.osti.gov/biblio/284839}, journal = {Physical Review, D},
number = 12,
volume = 53,
place = {United States},
year = {Sat Jun 01 00:00:00 EDT 1996},
month = {Sat Jun 01 00:00:00 EDT 1996}
}