Super-Strong Coupling NJL model in arbitrary space-time dimensions
High Energy Physics - Phenomenology
2018-10-03 v1
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.
Cite
@article{arxiv.1809.05545,
title = {Super-Strong Coupling NJL model in arbitrary space-time dimensions},
author = {Aftab Ahmad and Angelo Martínez and Alfredo Raya},
journal= {arXiv preprint arXiv:1809.05545},
year = {2018}
}
Comments
8 pages, 12 figures