Nonlinear Renormalization Group Equation for Matrix Models
High Energy Physics - Theory
2009-10-22 v2
Abstract
An exact renormalization group equation is derived for the free energy of matrix models. The renormalization group equation turns out to be nonlinear for matrix models, as opposed to linear for vector models. An algorithm for determining the critical coupling constant and the critical exponent is obtained. As concrete examples, one-matrix models with one and two coupling constants are analyzed and the exact values of the critical coupling constant and the associated critical exponent are found.
Keywords
Cite
@article{arxiv.hep-th/9307116,
title = {Nonlinear Renormalization Group Equation for Matrix Models},
author = {Saburo Higuchi and Chigak Itoi and Shinsuke Nishigaki and Norisuke Sakai},
journal= {arXiv preprint arXiv:hep-th/9307116},
year = {2009}
}
Comments
12 pages, TIT/HEP-228, NUP-A-93-13 ( a few corrections in formulae, the conclusion not changed)