New tool to detect inhomogeneous chiral-symmetry breaking

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.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-04-24
DOI
https://doi.org/10.1103/physrevd.111.074030
Citations
4
Primary Topic
Particle physics theoretical and experimental studies
Type
article
Field-Weighted Citation Impact
7.48

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article

New tool to detect inhomogeneous chiral-symmetry breaking

Michael Buballa, Julian Bernhardt, Theo F. Motta, Christian S. Fischer
4 citations
Physical review. D/Physical review. D.
Particle physics theoretical and experimental studies
7.48
article

New tool to detect inhomogeneous chiral-symmetry breaking

Michael Buballa, Julian Bernhardt, Theo F. Motta, Christian S. Fischer
article en
4 citations

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.

Physical review. D/Physical review. D.Vol. 111(7)
GSI Helmholtz Centre for Heavy Ion Research (DE), Justus-Liebig-Universität Gießen (DE), Technische Universität Darmstadt (DE), Universidade Estadual Paulista (Unesp) (BR)
Alexander von Humboldt-Stiftung, Deutsche Forschungsgemeinschaft, Fundação de Amparo à Pesquisa do Estado de São Paulo, Courant Forschungszentrum Geobiologie, Georg-August-Universität Göttingen
Openalex Percentile: Top 4%
Particle physics theoretical and experimental studies
7.48
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