Quenched free energy in random matrix model
arXiv:2009.02840 · doi:10.1007/JHEP12(2020)080
Abstract
We compute the quenched free energy in the Gaussian random matrix model by directly evaluating the matrix integral without using the replica trick. We find that the quenched free energy is a monotonic function of the temperature and the entropy approaches at high temperature and vanishes at zero temperature.
12 pages; v2) section on the large N limit removed. v3) to appear in JHEP