Wilson Renormalization Group for Supersymmetric Gauge Theories and Gauge Anomalies

Abstract

We extend the Wilson renormalization group (RG) to supersymmetric theories. As this regularization scheme preserves supersymmetry, we exploit the superspace technique. To set up the formalism we first derive the RG flow for the massless Wess-Zumino model and deduce its perturbative expansion. We then consider N=1 supersymmetric Yang-Mills and show that the local gauge symmetry -broken by the regularization- can be recovered by a suitable choice of the RG flow boundary conditions. We restrict our analysis to the first loop, the generalization to higher loops presenting no difficulty due to the iterative nature of the procedure. Furthermore, adding matter fields, we reproduce the one-loop supersymmetric chiral anomaly to the second order in the vector field.

22 pages, 1 Postscript figure, uses amssymb

References in corpus (5)

• Exact evolution equation for the effective potential
• Renormalization Group Invariance of Exact Results in Supersymmetric Gauge Theories
• Effective Average Action in N=1 Super-Yang-Mills Theory
• Chiral gauge theories and anomalies in the Wilson renormalization group approach
• Hard-Soft Renormalization and the Exact Renormalization Group

Cited by in corpus (21)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Aspects of the Functional Renormalisation Group
• The nonperturbative functional renormalization group and its applications
• Exact Renormalization Group Equations. An Introductory Review
• Fundamentals of the Exact Renormalization Group
• Flow Equation for Supersymmetric Quantum Mechanics
• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
• Perturbative Renormalization by Flow Equations
• Remarks on Exact RG Equations
• N=1 Wess Zumino Model in d=3 at zero and finite temperature
• Critical behavior of supersymmetric O(N) models in the large-N limit
• Phases of supersymmetric O(N) theories
• Gauge Consistent Wilson Renormalization Group I: Abelian Case
• Gauge Consistent Wilson Renormalization Group II: Non-Abelian Case
• On the Renormalization of Theories of a Scalar Chiral Superfield
• Dimensional renormalization of Yukawa theories wia Wilsonian methods
• Critical Wess-Zumino models with four supercharges from the functional renormalization group
• The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach
• (Non) Gauge Invariance of Wilsonian Effective Actions in (Supersymmetric) Gauge Theories : A Critical Discussion
• Circuit Complexity From Supersymmetric Quantum Field Theory With Morse Function
• Hard-soft renormalization of the massless Wess-Zumino model