New Tool to Detect Inhomogeneous Chiral Symmetry Breaking

TL;DR

This paper introduces a new stability analysis method based on extended chiral susceptibility to detect inhomogeneous chiral symmetry breaking, applicable to QCD and other fermionic theories, and demonstrates its effectiveness in a QCD model.

Contribution

It presents a novel method for identifying inhomogeneous chiral phases by extending chiral susceptibility, applicable across various theories including QCD.

Findings

Identified inhomogeneous phase regions in a QCD model.

Provided a general stability analysis framework for inhomogeneous phases.

Demonstrated applicability to solid-state and other fermionic systems.

Abstract

In this letter, we discuss a novel method to search for inhomogeneous chiral symmetry breaking in theories with fermions. The prime application we have in mind is QCD, but the method is also applicable for other theories, including solid-state applications. It is based on an extension of the chiral susceptibility to inhomogeneous phases and it works as a stability analysis. Our method allows us to determine when homogeneous solutions have the tendency to create spatially modulated condensates. As proof of principle, we apply this technique to a rainbow-ladder QCD model and find that its phase diagram contains an inhomogeneous region.