Topological Expansion of Oscillatory BGW and HCIZ Integrals at Strong Coupling
Mathematical Physics
2022-03-22 v1 Algebraic Geometry
Combinatorics
math.MP
Abstract
We prove that the BGW and HCIZ integrals admit large N topological expansions for complex coupling and complex external fields, provided the coupling is sufficiently strong. The expansion coefficients are holomorphic functions which are genus-specific generating functions for the monotone single and double Hurwitz numbers, respectively.
Keywords
Cite
@article{arxiv.2203.10746,
title = {Topological Expansion of Oscillatory BGW and HCIZ Integrals at Strong Coupling},
author = {Jonathan Novak},
journal= {arXiv preprint arXiv:2203.10746},
year = {2022}
}
Comments
46 pages, 1 figure. Supersedes arXiv:2006.04304v1