@misc{10481/102391,
year = {2024},
month = {12},
url = {https://hdl.handle.net/10481/102391},
abstract = {The Nambu–Jona-Lasino model is modified by the inclusion of a running-coupling that was obtained
by a fractal approach to Quantum Chromodynamics. The coupling follows a q-exponential function
and, in the context of high energy collisions, explains the origin of the Tsallis non-extensive statistics
distributions. The parameter q is completely determined in terms of the number of colours and the
number of quark flavours. We study several aspects of the extended model and compare our results
to the standard NJL model, where a constant coupling is used in combination with a sharp cutoff to
regularize the gap equation. We show that the modified coupling regularizes the model in a smooth
cutoff fashion and reproduces the pion mass and decay constant, providing an almost identical Gell Mann-Oakes-Renner relation as in the standard NJL model. In both models the relation is satisfied
in similar cutoff scales. An important novelty of this work is the physical explanation, in terms of
the fractal QCD vacuum, for a running coupling that renormalizes the quark condensate.},
organization = {MCIN/AEI/10.13039/501100011033 PID2020-114767GB-I00, RYC-2016-20678},
organization = {“FSE Investing in your future”},
organization = {FEDER},
organization = {Junta de Andalucía  A-FQM-178-UGR18, FQM-225, SOMM17/6105/UGR},
organization = {University of Granada},
organization = {São Paulo Research Foundation (FAPESP) 2021/12954-5},
organization = {FAPESP 2019/010889-1, 2016/17612-7},
organization = {Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 305004/2022-0, 304244/2018-0},
organization = {Project INCT-FNA Proc. No. 464 898/2014-5},
publisher = {Elsevier},
title = {Nambu–Jona-Lasinio model with a fractal inspired coupling},
doi = {10.1016/j.physletb.2024.139192},
author = {Megías Fernández, Eugenio and Teixeira, M. J. and Timóteo, V. S. and Deppman, A.},
}