Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Dependence of the crossover zone on the regularization method in the two-flavor Nambu–Jona-Lasinio model

Dependence of the crossover zone on the regularization method in the two-flavor... AbstractIn this article, we study the two-flavor Nambu and Jona-Lasinio (NJL) phase diagrams on the T–μ plane through three regularization methods. In one of these, we introduce an infrared three-momentum cutoff in addition to the usual ultraviolet regularization to the quark loop integrals and compare the obtained phase diagrams with those obtained from the NJL model with proper time regularization and Pauli–Villars regularization. We have found that the crossover appears as a band with a well-defined width in the T–μ plane. To determine the extension of the crossover zone, we propose a novel criterion, comparing it to another criterion that is commonly reported in the literature; we then obtain the phase diagrams for each criterion. We study the behavior of the phase diagrams under all these schemes, focusing on the influence of the regularization procedure on the crossover zone and the presence or absence of critical end points. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Physics de Gruyter

Dependence of the crossover zone on the regularization method in the two-flavor Nambu–Jona-Lasinio model

Download PDF
15 pages

Loading next page...
 
/lp/de-gruyter/dependence-of-the-crossover-zone-on-the-regularization-method-in-the-ceV0LxZVN3
Publisher
de Gruyter
Copyright
© 2020 José Rubén Morones-Ibarra et al., published by De Gruyter
ISSN
2391-5471
eISSN
2391-5471
DOI
10.1515/phys-2020-0010
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this article, we study the two-flavor Nambu and Jona-Lasinio (NJL) phase diagrams on the T–μ plane through three regularization methods. In one of these, we introduce an infrared three-momentum cutoff in addition to the usual ultraviolet regularization to the quark loop integrals and compare the obtained phase diagrams with those obtained from the NJL model with proper time regularization and Pauli–Villars regularization. We have found that the crossover appears as a band with a well-defined width in the T–μ plane. To determine the extension of the crossover zone, we propose a novel criterion, comparing it to another criterion that is commonly reported in the literature; we then obtain the phase diagrams for each criterion. We study the behavior of the phase diagrams under all these schemes, focusing on the influence of the regularization procedure on the crossover zone and the presence or absence of critical end points.

Journal

Open Physics – de Gruyter

Published: May 20, 2020

References

  • Connection between chiral symmetry restoration and deconfinement
  • Origins of mass
  • Phase transitions in quantum chromodynamics
  • Experimental and theoretical challenges in the search for the quark–gluon plasma: the STAR Collaboration's critical assessment of the evidence from RHIC collisions
  • Quark matter in high-mass neutron stars?
  • Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
  • Pion and sigma meson dissociation in a modified NJL model at finite temperature
  • Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD