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arXiv · 2006.10242

Unitary matrix integral for QCD with real quarks and the GOE-GUE crossover

Takuya Kanazawa
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Abstract

A unitary matrix integral that appears in the low-energy limit of QCD-like theories with quarks in real representations of the gauge group at finite chemical potential is analytically evaluated and expressed as a pfaffian. Its application to the GOE-GUE crossover in random matrix theory is discussed. An analogous unitary integral for QCD-like theories with quarks in pseudoreal representations of the gauge group is also evaluated.

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Takuya Kanazawa. 2020-06-18. Unitary matrix integral for QCD with real quarks and the GOE-GUE crossover. https://doi.org/10.1103/physrevd.102.034036

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