Litcius/Paper detail

New tool to detect inhomogeneous chiral-symmetry breaking

Theo F. Motta, Julian Bernhardt, Michael Buballa, Christian S. Fischer

2025Physical review. D/Physical review. D.9 citationsDOIOpen Access PDF

Abstract

In this paper, 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.

Topics & Concepts

Symmetry breakingChiral symmetry breakingTheoretical physicsSymmetry (geometry)Spontaneous symmetry breakingPhysicsComputer scienceParticle physicsMathematicsGeometryParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research