Chiral gauge theories and anomalies in the Wilson renormalization group approach

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, 4 figures, LaTex, uses epsfig, amssymb

Scientific paper

10.1016/S0550-3213(97)00740-2

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.

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