Gauged NJL model at strong curvature

Abstract

We investigate the gauged NJL--model in curved spacetime using the RG formulation and the equivalency with the gauge Higgs--Yukawa model in a modified 1/N_c -expansion. The strong curvature induced chiral symmetry breaking is found in the non-perturbative RG approach (presumably equivalent to the ladder Schwinger--Dyson equations). Dynamically generated fermion mass is explicitly calculated and inducing of Einstein gravity is briefly discussed. This approach shows the way to the non-perturbative study of the dynamical symmetry breaking at external fields.

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• Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
• Chiral Phase Structure at Finite Temperature and Density in Einstein Universe
• An alternative attractor in gauged NJL inflation
• Fate of chiral symmetry in Riemann-Cartan geometry
• Chiral symmetry and curvature bounds in de Sitter spacetime