For one-matrix models with polynomial potentials, the explicit relationship between the partition function and the isomonodromic tau function for the 2 × 2 polynomial differential systems satisfied by the associated orthogonal polynomials is derived.
Partition functions for matrix models and isomonodromic tau functions / Bertola, M.; Eynard, B.; Harnad, J.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 36:12(2003), pp. 3067-3083. [10.1088/0305-4470/36/12/313]
Partition functions for matrix models and isomonodromic tau functions
Bertola, M.;
2003-01-01
Abstract
For one-matrix models with polynomial potentials, the explicit relationship between the partition function and the isomonodromic tau function for the 2 × 2 polynomial differential systems satisfied by the associated orthogonal polynomials is derived.File in questo prodotto:
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