The large N limit of SU(N) integrals in lattice models
High Energy Physics - Lattice
2020-10-28 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The standard U(N) and SU(N) integrals are calculated in the large N limit. Our main finding is that for an important class of integrals this limit is different for two groups. We describe the critical behaviour of SU(N) models and discuss implications of our results for the large N behaviour of SU(N) lattice gauge theories at finite temperatures and non-zero baryon chemical potential. The key ingredients of our approach are 1) expansion of the integrals into a sum over irreducible representations and 2) calculation of sums over partitions of r of products of dimensions of two different representations of a symmetric group .
Keywords
Cite
@article{arxiv.2008.00773,
title = {The large N limit of SU(N) integrals in lattice models},
author = {O. Borisenko and V. Chelnokov and S. Voloshyn},
journal= {arXiv preprint arXiv:2008.00773},
year = {2020}
}
Comments
16 pages, 3 figures