Affiliation:
1. Graduate School of Natural Science and Engineering, Shimane University , Matsue 690-8504 , Japan
Abstract
Abstract
Motivated by the study of Polyakov lines in gauge theories, Hanada and Watanabe recently presented a conjectured formula for the distribution of eigenphases of Haar-distributed random SU(N) matrices (β = 2), supported by explicit examples at small N and by numerical samplings at larger N. In this letter, I spell out a concise proof of their formula, and present its orthogonal and symplectic counterparts, i.e. the eigenphase distributions of Haar-random unimodular symmetric (β = 1) and selfdual (β = 4) unitary matrices parametrizing SU(N)/SO(N) and SU(2N)/Sp(2N), respectively.
Funder
Japan Society for the Promotion of Science
Publisher
Oxford University Press (OUP)
Cited by
1 articles.
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