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Physical solutions for unitary matrix models |
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| Authors: | . Crnkovi&#x , M. Douglas,G. Moore |
| Affiliation: | 1 Department of Physics, Yale University, New Haven, CT 06511-8167, USA 2 Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, USA 3 Laboratoire de Physique Theorique, Ecole Normale Supérieure, Paris 75005, France |
| 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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