Constructive Matrix Theory for Higher Order Interaction II: Hermitian and Real Symmetric Cases
Mathematical Physics
2019-10-30 v1 High Energy Physics - Theory
math.MP
Abstract
This paper provides the constructive loop vertex expansion for stable matrix models with (single trace) interactions of arbitrarily high even order in the Hermitian and real symmetric cases. It relies on a new and simpler method which can also be applied in the previously treated complex case. We prove analyticity in the coupling constant of the free energy for such models in a domain uniform in the size of the matrix
Keywords
Cite
@article{arxiv.1910.13261,
title = {Constructive Matrix Theory for Higher Order Interaction II: Hermitian and Real Symmetric Cases},
author = {Thomas Krajewski and Vincent Rivasseau and Vasily Sazonov},
journal= {arXiv preprint arXiv:1910.13261},
year = {2019}
}
Comments
22 pages 5 figures