Exact Renormalization Group and Loop Equation

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.

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

References in corpus (6)

• Wilson Loops and Minimal Surfaces
• Holography and Compactification
• Spacetime and the Holographic Renormalization Group
• A New Type of Loop Equations
• String field theory Hamiltonians from Yang-Mills theories
• Dynamical truncation of the string spectrum at finite N

Cited by in corpus (6)

• Exact Renormalization Group Equations. An Introductory Review
• A Note On Relation Between Holographic RG Equation And Polchinski's RG Equation
• Schwinger-Dyson = Wheeler-DeWitt: gauge theory observables as bulk operators
• AdS/CFT Correspondence, Critical Strings and Stochastic Quantization
• Gauge Invariant Regularization in the AdS/CFT Correspondence and Ghost D-branes
• Matrix Model For Polyakov Loops, String Field Theory In The Temporal Gauge, Winding String Condensation In Anti-de Sitter Space And Field Theory Of D-branes