Heavy-tailed chiral random matrix theory

Abstract

We study an unconventional chiral random matrix model with a heavy-tailed probabilistic weight. The model is shown to exhibit chiral symmetry breaking with no bilinear condensate, in analogy to the Stern phase of QCD. We solve the model analytically and obtain the microscopic spectral density and the smallest eigenvalue distribution for an arbitrary number of flavors and arbitrary quark masses. Exotic behaviors such as non-decoupling of heavy flavors and a power-law tail of the smallest eigenvalue distribution are illustrated.

18 pages, 5 figures

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Cited by in corpus (4)

• Random matrix approach to three-dimensional QCD with a Chern-Simons term
• Universal Distribution of Would-be Topological Zero Modes in Coupled Chiral Systems
• Local Tail Statistics of Heavy-Tailed Random Matrix Ensembles with Unitary Invariance
• Chiral random matrix theory for colorful quark-antiquark condensates