Multicritical Behavior of $c=1$ Matrix Model
High Energy Physics - Theory
2016-09-06 v1
Abstract
We discuss multicritical behavior of matrix model, extending the recent work of ref. \cite{CIO} on a nonperturbative completion of the density of states function. For the odd orders of multicriticality, we are able to determine the higher genus contributions and a nonperturbative completion from the WKB wave function of the multicritical periodic potential. The expression for the contributions as a function of the scaled chemical potential is found to be the same as the one at the lowest critical point. We point out a strange scaling behavior.
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Cite
@article{arxiv.hep-th/9404189,
title = {Multicritical Behavior of $c=1$ Matrix Model},
author = {H. Itoyama and M. Koike},
journal= {arXiv preprint arXiv:hep-th/9404189},
year = {2016}
}
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8 pages