The large N limit of SU(N) integrals in lattice models

@article{Borisenko2020TheLN,
  title={The large N limit of SU(N) integrals in lattice models},
  author={O. A. Borisenko and Vladimir Chelnokov and Semen Voloshyn},
  journal={Nuclear Physics},
  year={2020},
  volume={960},
  pages={115177}
}
Abstract The standard U ( N ) and S U ( 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 S U ( N ) models and discuss implications of our results for the large N behaviour of S U ( 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… 
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