Date&Time | Wed Oct 21 2020 (13:30 - 14:30) |
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Speaker | Kazumi Okuyama |
Affiliation | Shinshu U |
Title | Quenched free energy in random matrix model |
Abstract | We compute the quenched free energy in the Gaussian random matrix modelby directly evaluating the matrix integral without using the replica trick.We find that the quenched free energyis a monotonic function of the temperature and the entropyapproaches log N at high temperature and vanishes at zero temperature.We also discuss a possible phase transition in the large N limit.This talk is based on arxiv:1903.11776 and arxiv:2009.02840. |
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