Noether’s second theorem and Ward identities for gauge symmetries

Avery, Steven G.; Schwab, Burkhard U.  W.

doi:10.1007/JHEP02(2016)031

Title: Noether’s second theorem and Ward identities for gauge symmetries

Journal Article · Thu Feb 04 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP02(2016)031· OSTI ID:1327284

Avery, Steven G. ^[1]; Schwab, Burkhard U. W. ^[2]

Brown Univ., Providence, RI (United States)
Brown Univ., Providence, RI (United States); Harvard Univ., Cambridge, MA (United States)

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 present and 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. Finally, our approach suggests a novel point of view with important physical consequences.

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Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010010

OSTI ID:: 1327284

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 52 works

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Electromagnetic and color memory in even dimensions Campoleoni, Andrea; Francia, Dario; Heissenberg, Carlo Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/physrevd.100.085015	journal	October 2019
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