Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-305/2/a/solution

A quantum anomaly occurs when a symmetry of the classical action cannot be preserved by the regulator or functional measure of the quantum theory. An anomaly in a global symmetry is physically allowed: it changes a classical current conservation law and can mediate observable processes. A gauge anomaly is fatal unless it cancels, because gauge symmetry is the redundancy that removes negative-norm and longitudinal unphysical states; its loss spoils the gauge Ward identities and unitarity.

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