A Remark on the Renormalization Group Equation for the Penner Model
High Energy Physics - Theory
2009-10-28 v1
Abstract
It is possible to extract values for critical couplings and gamma_string in matrix models by deriving a renormalization group equation for the variation of the of the free energy as the size N of the matrices in the theory is varied. In this paper we derive a ``renormalization group equation'' for the Penner model by direct differentiation of the partition function and show that it reproduces the correct values of the critical coupling and gamma_string and is consistent with the logarithmic corrections present for g=0,1.
Keywords
Cite
@article{arxiv.hep-th/9406139,
title = {A Remark on the Renormalization Group Equation for the Penner Model},
author = {D. Johnston},
journal= {arXiv preprint arXiv:hep-th/9406139},
year = {2009}
}
Comments
LaTeX, 5 pages, LPTHE-Orsay-94-59