Nambu–Jona-Lasinio model with a fractal inspired coupling

Year: 2024

Type: article

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.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2024.139192

Authors: E. Megías, M.J. Teixeira, V.S. Timóteo, A. Deppman

Institutions: Universidad de Granada, Universidade de São Paulo, Universidade Estadual de Campinas (UNICAMP)

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Universidad de Granada, Junta de Andalucía, Instituto Nacional de Ciência e Tecnologia: Física Nuclear e Aplicações, European Regional Development Fund, Agencia Estatal de Investigación

OpenAlex ID: W4405359154