# Choice of basis for Fujikawa method to derive chiral anomaly

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I am studying the Fujikawa method of determining the chiral anomalies in a $U(1)$ theory. As we know the basis vectors selected are the eigenstates of the Dirac operator. One of the reasons given is that the eigenstates diagonalize the action which is needed for determining an exact quantity such as Ward-Takahashi identities. Anyone care to explain? I am referring to Path Integrals and Quantum Anomalies by Kazuo Fujikawa and Hiroshi Suzuki.

This post imported from StackExchange Physics at 2014-06-29 09:36 (UCT), posted by SE-user SubhamDC
asked Jun 28, 2014
What exactly do you want us to explain? How the Ward-Takahashi identity follows? Why we need eigenstates of the Dirac operator to derive it? Please be more specific (and tell us what part exactly you don't understand).

This post imported from StackExchange Physics at 2014-06-29 09:36 (UCT), posted by SE-user ACuriousMind

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