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arXiv · 1809.05545

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

Aftab Ahmad·Angelo Martínez·Alfredo Raya
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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.

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Aftab Ahmad, Angelo Martínez, Alfredo Raya. 2018-09-14. Super-Strong Coupling NJL model in arbitrary space-time dimensions. https://doi.org/10.1103/physrevd.98.054027

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