Physical solutions for unitary matrix models

Č Crnković; M. Douglas; G. Moore

doi:10.1016/0550-3213(91)90413-R

Physical solutions for unitary matrix models

Č Crnković, M. Douglas, G. Moore

New High Energy Theory Center

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

We study the simplest double scaling limit of the integral over a unitary matrix, shown by Periwal and Shevitz to admit an exact solution in terms of the mKdV hierarchy. We show that there is a unique non-perturbative solution of the string equation corresponding to the true double scaling limit of the integral, which interpolates smoothly between weak and strong coupling regimes.

Original language	English (US)
Pages (from-to)	507-523
Number of pages	17
Journal	Nuclear Physics, Section B
Volume	360
Issue number	2-3
DOIs	https://doi.org/10.1016/0550-3213(91)90413-R
State	Published - Aug 19 1991

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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abstract = "We study the simplest double scaling limit of the integral over a unitary matrix, shown by Periwal and Shevitz to admit an exact solution in terms of the mKdV hierarchy. We show that there is a unique non-perturbative solution of the string equation corresponding to the true double scaling limit of the integral, which interpolates smoothly between weak and strong coupling regimes.",

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N2 - We study the simplest double scaling limit of the integral over a unitary matrix, shown by Periwal and Shevitz to admit an exact solution in terms of the mKdV hierarchy. We show that there is a unique non-perturbative solution of the string equation corresponding to the true double scaling limit of the integral, which interpolates smoothly between weak and strong coupling regimes.

AB - We study the simplest double scaling limit of the integral over a unitary matrix, shown by Periwal and Shevitz to admit an exact solution in terms of the mKdV hierarchy. We show that there is a unique non-perturbative solution of the string equation corresponding to the true double scaling limit of the integral, which interpolates smoothly between weak and strong coupling regimes.

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