Chiral symmetry breaking in gauged $\mathbf{NJL}$ 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-Jona-Lasinio (NJL) model, we study the gauged NJL model in curved space-time. The behaviour of the scalar-gravitational coupling constant $\xi (t)$ in both theories is discussed. The RG improved effective potential of 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 formalizm leads to the same results as ladder Schwinger-Dyson equations which have not been formulated yet in curved spacetime what opens new possibilities in the study of GUTs and NJL-like models in curved spacetime.

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Cited by in corpus (14)

• Light fermions in quantum gravity
• A curvature bound from gravitational catalysis
• Gravitational instantons and anomalous chiral symmetry breaking
• Gauged Nambu-Jona-Lasinio inflation
• Renormalisation group improvement in the stochastic formalism
• A unified composite model of inflation and dark matter in the Nambu-Jona-Lasinio theory
• Inflation from the Finite Scale Gauged Nambu-Jona-Lasinio Model
• Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
• Chiral Phase Structure at Finite Temperature and Density in Einstein Universe
• Magnetically induced vacuum decay
• An alternative attractor in gauged NJL inflation
• Fate of chiral symmetry in Riemann-Cartan geometry
• Quantum fields in the non-perturbative regime - Yang-Mills theory and gravity
• Epsilon-expansion in quantum field theory in curved spacetime