Renormalization group flow in one- and two-matrix models
摘要
Large- renormalization group equations for one- and two-matrix 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 -function approximates well the global phase structure which includes several nontrivial fixed points. The global renormalization group flow suggests a kind of -theorem in two-dimensional quantum gravity.
关键词
引用
@article{arxiv.hep-th/9409009,
title = {Renormalization group flow in one- and two-matrix models},
author = {Saburo Higuchi and Chigak Itoi and Shinsuke Nishigaki and Norisuke Sakai},
journal= {arXiv preprint arXiv:hep-th/9409009},
year = {2014}
}
备注
34 pages in LaTeX, 4 eps figures included in uufiled form, with a few minor but helpful corrections