Exact Renormalization Group and Loop Equation
High Energy Physics - Theory
2009-10-31 v3
Abstract
We propose a gauge invariant formulation of the exact renormalization group equation for nonsupersymmetric pure U(N) Yang-Mills theory, based on the construction by Tim Morris. In fact we show that our renormalization group equation amounts to a regularized version of the loop equation, thereby providing a direct relation between the exact renormalization group and the Schwinger-Dyson equations. We also discuss a possible implication of our formulation to the holographic correspondence of the bulk gravity and the boundary gauge theory.
Cite
@article{arxiv.hep-th/9910256,
title = {Exact Renormalization Group and Loop Equation},
author = {Shinji Hirano},
journal= {arXiv preprint arXiv:hep-th/9910256},
year = {2009}
}
Comments
13 pages, Latex, References added. An error in eq. (6) fixed and a few corrrections accordingly. Results unchanged