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Exact Results in Quantum Theory & Gravity

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2022-10-14 (14:15) Calendar icon
Min Lee (University of Oxford)

A Rigorous Computation of the Chiral Anomaly in Gauge Theories

The chiral anomaly in gauge theories in terms of the functional measure was first calculated by Fujikawa in the 1970s. The physical meaning of this anomaly is that the global chiral symmetry of classical gauge theories does not pass over to the local chiral symmetry of corresponding quantum theories. Mathematically, the chiral anomaly has topological implications because it demonstrates that the Dirac operator carries an index that depends solely on the configuration of the gauge fields. In this talk, I show how to formulate rigorously the standard calculations which yield the explicit form of the chiral anomaly.
Link: https://uw-edu-pl.zoom.us/j/97027158778?pwd=WHU4cDdDYjZKVDhVZGZFVllWcG04UT09
Meeting ID: 970 2715 8778
Passcode: 022707

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