Do we need to use regularization on the thermal part in the NJL model?

Abstract

The Nambu--Jona-Lasinio (NJL) model is one of the most useful tools to study non-perturbative strong interaction matter. Because it is a nonrenormalizable model, the choosing of regularization is a subtle issue. In this paper, we discuss one of the general things of the regularization in the NJL model, which is whether we need to use the regularization on the thermal part by evaluating the quark chiral condensate and thermal properties in the two-flavor NJL model. The calculations in this work include three regularization schemes that contain both gauge covariant and invariant schemes. We found no matter which regularization scheme we choose, it is necessary to use the regularization on the thermal part when calculating the chiral condensate related physics quantities and do not use the regularization on the thermal part when calculating the grand potential related physical quantities.

arXiv commentto be published in Chinese Physics C

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Cited by in corpus (4)

• Magnetism of QCD matter and pion mass from tensor-type spin polarization and anomalous magnetic moment of quarks
• Anisotropy of magnetized quark matter
• The mass and spectral function of scalar and pseudoscalar mesons in a hot and chirally imbalanced medium using the two-flavor NJL model
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model