Ward - Takahashi identities and Noether's theorem in quantum field theory

Details Ward - Takahashi identities and Noether's theorem in quantum field theory Ward - Takahashi identities and Noether's theorem in quantum field theory

1997-02-12

arxiv.org/abs/hep-th/9702096v1

Found.Phys. 27 (1997) 995-1009

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex

Scientific paper

10.1007/BF02551149

A gap in the mathematical logic in derivations in quantum field theory arises as consequence of variation before quantization. To close this gap the present paper introduces a mathematically rigorous variational calculus for operator fields. Using quantization before variation it is demonstrated that the so-called naive results are correct; in particular both Noether's theorem and the Ward-Takahashi identities retain full validity in quantum field theory.

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