Revisiting SU(N) integrals

Abstract

In this note, I revisit integrals over $\SU(N)$ of the form $ \int DU\, U_{i_1j_1}\cdots U_{i_pj_p}\Ud_{k_1l_1}\cdots \Ud_{k_nl_n}$. While the case $p=n$ is well known, it seems that explicit expressions for $p=n+N$ had not appeared in the literature. Similarities and differences, in particular in the large $N$ limit, between the two cases are discussed

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References in corpus (3)

• Moments and Cumulants of Polynomial random variables on unitary groups, the Itzykson-Zuber integral and free probability
• Complete homogeneous symmetric polynomials in Jucys-Murphy elements and the Weingarten function
• Integrals over SU(N)

Cited by in corpus (1)

• A new dual representation for staggered lattice QCD