Chiral gauge theories and anomalies in the Wilson renormalization group approach
arXiv:hep-th/9707094 · doi:10.1016/S0550-3213(97)00740-2
Abstract
We extend the Wilson renormalization group (RG) formulation to chiral gauge theories and show that local gauge symmetry can be implemented by a suitable choice of the RG flow boundary conditions. Since the space-time dimension is four, there is no ambiguity in handling the matrix $\g_5$ and left and right fermions are not coupled. As a result the ultraviolet action contains all possible globally chiral invariant interactions. Nevertheless, the correct chiral anomaly is reproduced.
16 pages, 4 figures, LaTex, uses epsfig, amssymb
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Cited by in corpus (9)
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- Exact Renormalization Group Equations. An Introductory Review
- Renormalisation group flows for gauge theories in axial gauges
- Perturbative Renormalization by Flow Equations
- Wilson Renormalization Group for Supersymmetric Gauge Theories and Gauge Anomalies
- Gauge Consistent Wilson Renormalization Group I: Abelian Case
- Gauge Consistent Wilson Renormalization Group II: Non-Abelian Case
- Fine-tuning and the Wilson renormalization group