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Article Dans Une Revue J.Phys.A Année : 2017

Revisiting SU(N) integrals

Résumé

In this note, I revisit integrals over $\text{SU}(N)$ of the form ${\int}^{}DU\,{{U}_{{{i}_{1}}\,{{j}_{1}}}}\cdots {{U}_{{{i}_{p}}\,{{j}_{p}}}}U_{{{k}_{1}}{{l}_{1}}}^{\dagger}\cdots U_{{{k}_{n}}{{l}_{n}}}^{\dagger}$ . 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.

Dates et versions

hal-01554761 , version 1 (03-07-2017)

Identifiants

Citer

Jean-Bernard Zuber. Revisiting SU(N) integrals. J.Phys.A, 2017, 50 (1), pp.015203. ⟨10.1088/1751-8113/50/1/015203⟩. ⟨hal-01554761⟩
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