English

New Tool to Detect Inhomogeneous Chiral Symmetry Breaking

High Energy Physics - Phenomenology 2025-03-26 v3 Nuclear Theory

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.

Keywords

Cite

@article{arxiv.2411.02285,
  title  = {New Tool to Detect Inhomogeneous Chiral Symmetry Breaking},
  author = {Theo F. Motta and Julian Bernhardt and Michael Buballa and Christian S. Fischer},
  journal= {arXiv preprint arXiv:2411.02285},
  year   = {2025}
}

Comments

Results extended to lower temperatures and larger chemical potentials. Extended results confirm the power of the new method and show definite signs of inhomogeneous chiral-SB