Nonperturbative Renormalization Group and Renormalizability of Gauged NJL Model

Abstract

Non-perturbative renormalizability, or non-triviality, of the gauged Nambu-Jona-Lasinio (NJL) model in four dimensions is examined by using non-perturbative (exact) renormalization group in large $N_c$ limit. When running of the gauge coupling is asymptotically free and slow enough, the two dimensional renormalized trajectory (subspace) spanned by the four fermi coupling and the gauge coupling is found to exist, which implies renormalizability of the gauged NJL model. In the case of fixed gauge coupling, renormalizability of the model turns out to be guaranteed by the line of the UV fixed points. We discuss also non-triviality of the gauged NJL model extended to include higher dimensional operators and correspondence with the gauge-Higgs-Yukawa system.

17 pages, 5 epsf figures

Cited by in corpus (11)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Exact Renormalization Group Equations. An Introductory Review
• Universality of spontaneous chiral symmetry breaking in gauge theories
• Fixed point merger in the SU(N) gauge beta functions
• Ideal Walking Dynamics via a Gauged NJL Model
• Gauged Nambu-Jona-Lasinio model with extra dimensions
• Renormalization Group Analysis of a Gursey Model Inspired Field Theory
• Gauged System Mimicking the Gürsey Model
• Peccei-Quinn Symmetry Breaking via Asymptotically Safe Dynamical Scalegenesis: A Walking Axicolor and Axion
• Softly Broken Supersymmetric Gauge-Higgs-Yukawa Theories as Renormalizable Composite Models
• Renormalization Group Analysis of a Gursey Model Inspired Field Theory II