Noether's second theorem and Ward identities for gauge symmetries
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Publication:1638234
DOI10.1007/JHEP02(2016)031zbMATH Open1388.83004arXiv1510.07038OpenAlexW3105858581WikidataQ60136237 ScholiaQ60136237MaRDI QIDQ1638234
Author name not available (Why is that?)
Publication date: 12 June 2018
Published in: (Search for Journal in Brave)
Abstract: Recently, a number of new Ward identities for large gauge transformations and large diffeomorphisms have been discovered. Some of the identities are reinterpretations of previously known statements, while some appear to be genuinely new. We use Noether's second theorem with the path integral as a powerful way of generating these kinds of Ward identities. We reintroduce Noether's second theorem and discuss how to work with the physical remnant of gauge symmetry in gauge fixed systems. We illustrate our mechanism in Maxwell theory, Yang-Mills theory, p-form field theory, and Einstein-Hilbert gravity. We comment on multiple connections between Noether's second theorem and known results in the recent literature. Our approach suggests a novel point of view with important physical consequences.
Full work available at URL: https://arxiv.org/abs/1510.07038
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