Non-uniform chiral and 2SC color superconducting phases, taking into account the non-zero current quark mass

TL;DR

This paper investigates the conditions under which mixed non-uniform chiral and 2SC color superconducting phases can exist, highlighting the dependence on regularization schemes and model parameters in the NJL framework.

Contribution

It demonstrates how the existence of mixed phases varies with different regularization schemes and parameter choices in the NJL model, considering non-zero quark masses.

Findings

Mixed phase exists in 3d cut-off scheme for many parameters.

Mixed phase does not exist in Schwinger scheme with physical vacuum parameters.

Regularization scheme choice critically affects phase predictions.

Abstract

We have shown, that the possibility of the existence of the mixed phase of the non-uniform chiral (NCh) and the color superconducting (2SC) ground state depends significantly on the choice of the parameters and type of the regularization scheme. Our calculations indicates, that in the 3d cut-off regularization scheme, the mixed region of the NCh and the 2SC phases exists for a broad set of NJL model parameters. However, in the Schwinger regularization scheme, if parameters are fitted to the physical quantities in the vacuum, then, the mixed region of the NCh and the 2SC phases does not exists.