Ward-takahashi identities and Noether’s theorem in quantum field theory

Foundations of Physics 27 (7):995-1009 (1997)
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Abstract

The gap in the mathematical derivation of Noether’s theorem, and also of the Ward-Takahashi identities, caused by performing variation before quantization is closed by introduction of variational calculus for operator fields. It is demonstrated that both Noether’s theorem and the Ward-Takahashi identities retain full validity in quantum field theory

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10.1007/bf02551149

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