Revisiting SU(N) integrals

Abstract : 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.
Type de document :
Article dans une revue
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01554761
Contributeur : Inspire Inspire <>
Soumis le : lundi 3 juillet 2017 - 18:18:21
Dernière modification le : lundi 3 juillet 2017 - 18:18:21

Identifiants

Citation

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

Partager

Métriques

Consultations de la notice

4