Super-Strong Coupling NJL model in arbitrary space-time dimensions

Abstract

We study chiral symmetry breaking in the Nambu--Jona-Lasinio model regularized in proper-time in arbitrary space-time dimensions through an iterative procedure by writing the gap equation in the form of a discrete dynamical system with the coupling constant as the control parameter. Expectedly, we obtain the critical coupling for chiral symmetry breaking when a nontrivial solution bifurcates away from the trivial one and becomes an attractor. By increasing further the value of the coupling constant, we observe a second bifurcation where the dynamical solution is no longer an attractor, and observation that holds true in all space-time dimensions. In the super-strong coupling regime, the system becomes chaotic.

arXiv comment8 pages, 12 figures

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Cited by in corpus (3)

• QCD phase diagram in a magnetized medium from the chiral symmetry perspective: The linear sigma model with quarks and the Nambu--Jona-Lasinio model effective descriptions
• Color-flavor dependence of the Nambu-Jona-Lasinio model and QCD phase diagram
• Chiral Symmetry Restoration and Deconfinement in the Contact Interaction Model of Quarks with a Parallel Electric and Magnetic Fields