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arXiv · 1611.00236

Revisiting SU(N) integrals

Jean-Bernard Zuber
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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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Jean-Bernard Zuber. 2016-11-01. Revisiting SU(N) integrals. https://doi.org/10.1088/1751-8113%2F50%2F1%2F015203

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