Renormalization group flow in one and twomatrix models
Abstract
Large$N$ renormalization group equations for one and twomatrix models are derived. The exact renormalization group equation involving infinitely many induced interactions can be rewritten in a form that has a finite number of coupling constants by taking account of reparametrization identities. Despite the nonlinearity of the equation, the location of fixed points and the scaling exponents can be extracted from the equation. They agree with the spectrum of relevant operators in the exact solution. A linearized $\beta$function approximates well the global phase structure which includes several nontrivial fixed points. The global renormalization group flow suggests a kind of $c$theorem in twodimensional quantum gravity.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 arXiv:
 arXiv:hepth/9409009
 Bibcode:
 1995NuPhB.441..405H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 34 pages in LaTeX, 4 eps figures included in uufiled form, with a few minor but helpful corrections