Exact Renormalization Group and Loop Equation

Details Exact Renormalization Group and Loop Equation Exact Renormalization Group and Loop Equation

1999-10-31

arxiv.org/abs/hep-th/9910256v3

Phys.Rev. D61 (2000) 125011

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex, References added. An error in eq. (6) fixed and a few corrrections accordingly. Results unchanged

Scientific paper

10.1103/PhysRevD.61.125011

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.

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