New universality classes of the non-Hermitian Dirac operator in QCD-like theories

URN to cite this document:: urn:nbn:de:bvb:355-epub-517475
DOI to cite this document:: 10.5283/epub.51747

Kanazawa, Takuya ; Wettig, Tilo

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Date of publication of this fulltext: 20 Feb 2022 15:04

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Abstract

In non-Hermitian random matrix theory there are three universality classes for local spectral correlations: the Ginibre class and the nonstandard classes AI† and AII†. We show that the continuum Dirac operator in two-color QCD coupled to a chiral U(1) gauge field or an imaginary chiral chemical potential falls in class AI† (AII†) for fermions in pseudoreal (real) representations of SU(2). We ...