Genus Expansions of Hermitian One-Matrix Models: Fat Graphs vs. Thin Graphs

2018/09/28 by Zhou, Jian · 1 citation
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1809.10870

Abstract

We consider two different genus expansions of the free energy functions of Hermitian one-matrix models, one using fat graphs, one using ordinary graphs (thin graphs). Some structural results are first proved for the thin version of genus expansion using renormalized coupling constants, and then applied to the fat version.

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