Chiral symmetry breaking in the gauged NJL model in curved spacetime
- Institute of Theoretical Physics and Center for Theoretical Sciences, Leipzig University, Augustusplatz 10, D-04109 Leipzig (Germany)
- Department ECM, Facultat de Fisica, Universidad de Barcelona, Diagonal 647, 08028 Barcelona (Spain)
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.}
- OSTI ID:
- 284839
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 12 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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