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arXiv · hep-th/9404189

Multicritical Behavior of $c=1$ Matrix Model

H. Itoyama·M. Koike
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Abstract

We discuss multicritical behavior of $c=1$ 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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H. Itoyama, M. Koike. 1994-04-30. Multicritical Behavior of $c=1$ Matrix Model. https://arxiv.org/abs/hep-th/9404189

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