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

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Kanazawa, Takuya ; Wettig, Tilo
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Date of publication of this fulltext: 20 Feb 2022 15:04


In non-Hermitian random matrix theory there are three universality classes for local spectral correlations: the Ginibre class and the nonstandard classes AI(dagger) and AII(dagger). 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(dagger) (AII(dagger)) for fermions in pseudoreal (real) ...


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