Solving the Gap Equation of the NJL Model through Iteration: Unexpected Chaos
High Energy Physics - Phenomenology
2019-04-08 v1
Abstract
We explore the behavior of the iterative procedure to obtain the solution to the gap equation of the Nambu-Jona-Lasinio (NLJ) model for arbitrarily large values of the coupling constant and in the presence of a magnetic field and a thermal bath. We find that the iterative procedure shows a different behavior depending on the regularization scheme used. It is stable and very accurate when a hard cut-off is employed. Nevertheless, for the Paul-Villars and proper time regularization schemes, there exists a value of the coupling constant (different in each case) from where the procedure becomes chaotic and does not converge any longer.
Cite
@article{arxiv.1904.02732,
title = {Solving the Gap Equation of the NJL Model through Iteration: Unexpected Chaos},
author = {Angelo Martínez and Alfredo Raya},
journal= {arXiv preprint arXiv:1904.02732},
year = {2019}
}
Comments
16 pages, 11 figures