Nonlinear Renormalization Group Equation for Matrix Models

Preprint

19 July 1993

preprint
Published by arXiv in arXiv

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

RENORMALIZATION GROUP EQUATION
CRITICAL COUPLING CONSTANT
NONLINEAR RENORMALIZATION
VALUES OF THE CRITICAL
EXACT RENORMALIZATION
MATRIX MODELS
ALGORITHM

All Related Versions

Version 1, 1993-07-19, ArXiv
Version 2, 1993-10-20, ArXiv
Published version: Physics Letters B, 318 (1), 63.

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