Srednicki — Quantum Field Theory · Problem 75.1

Canonical Quantization of Scalar Fields — Mark Srednicki

Physics — QFT · chiral-gauge-theories-and-anomalies

Problem

Consider a theory with a nonabelian gauge symmetry, and also a

\mathrm{U}(1)

gauge symmetry. The theory contains left-handed Weyl fields in the representations

(\mathrm{R}_i, Q_i)

, where

\mathrm{R}_i

is the representation of the nonabelian group, and

Q_i

is the

\mathrm{U}(1)

charge. Find the conditions for this theory to be anomaly free.