= Adel Bilal
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<Adel Bilal> developed a detailed field-theoretic account of quantum anomalies. His lectures derive the <chiral anomaly> through changes of the functional measure and triangle diagrams, then relate <gauge anomalies> to nonconservation and consistency conditions.<Lectures on Anomalies by Adel Bilal>[Abstract and anomaly derivations, consistency conditions and cancellation]{ref}
An anomaly is not simply an inaccurate approximation: a symmetry of the classical description may fail after quantization. In a gauge theory, the relevant cancellation conditions constrain the allowed particle representations. This connects explicit diagram calculations with structural restrictions on a quantum field theory.
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