Phase diagram of the non-uniform chiral condensate in different regularization schemes at T=0

TL;DR

This paper investigates how different regularization schemes affect the phase diagram of non-uniform chiral condensates at zero temperature, finding qualitative consistency across schemes and notable differences with non-relativistic cut-offs.

Contribution

It demonstrates the regularization scheme independence of the qualitative phase diagram and compares quantitative results across schemes, highlighting differences with non-relativistic cut-offs.

Findings

Qualitative phase diagram is scheme-independent.

Relativistic schemes yield consistent quantitative results.

Non-relativistic cut-off differs significantly from relativistic schemes.

Abstract

We show that the qualitative picture of the phase diagram which includes the non-uniform chiral phase and 2SC superconducting phase is independent of the considered regularization schemes. We also demonstrate that the quantitative results agree with each other reasonably for the set of so called "relativistic" regularization schemes. On the other hand the "non-relativistic" momentum cut-off is clearly differ from the others.