English

Quenched free energy in random matrix model

High Energy Physics - Theory 2020-12-30 v3

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 logN\log N at high temperature and vanishes at zero temperature.

Keywords

Cite

@article{arxiv.2009.02840,
  title  = {Quenched free energy in random matrix model},
  author = {Kazumi Okuyama},
  journal= {arXiv preprint arXiv:2009.02840},
  year   = {2020}
}

Comments

12 pages; v2) section on the large N limit removed. v3) to appear in JHEP

R2 v1 2026-06-23T18:20:57.602Z