A note on harmonic gauge(s) in massive gravity

We consider the harmonic gauge condition in linearized gravity, seen as a gauge theory for a symmetric tensor field. Once the harmonic gauge condition is implemented, as customary, according to the Faddeev-Popov procedure, the gauge fixed action still depends on one gauge parameter. Consequently, th...

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Main Authors: Gambuti, G, Maggiore, N
Format: Journal article
Language:English
Published: Elsevier 2020
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author Gambuti, G
Maggiore, N
author_facet Gambuti, G
Maggiore, N
author_sort Gambuti, G
collection OXFORD
description We consider the harmonic gauge condition in linearized gravity, seen as a gauge theory for a symmetric tensor field. Once the harmonic gauge condition is implemented, as customary, according to the Faddeev-Popov procedure, the gauge fixed action still depends on one gauge parameter. Consequently, the harmonic gauge appears to be a class of conditions, rather than a particular one. This allows to give a physical motivation for the covariant harmonic gauge(s), which emerges when the gravitational perturbation is given a mass term. In fact, for a particular choice of harmonic gauge, we find a theory of linearized massive gravity displaying five degrees of freedom, as it should, and which is not affected by the vDVZ discontinuity, differently from what happens in the standard Fierz-Pauli theory.
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spelling oxford-uuid:33a3efa3-a5b5-423f-8523-5ce2145d0c062022-03-26T13:21:16ZA note on harmonic gauge(s) in massive gravityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:33a3efa3-a5b5-423f-8523-5ce2145d0c06EnglishSymplectic ElementsElsevier2020Gambuti, GMaggiore, NWe consider the harmonic gauge condition in linearized gravity, seen as a gauge theory for a symmetric tensor field. Once the harmonic gauge condition is implemented, as customary, according to the Faddeev-Popov procedure, the gauge fixed action still depends on one gauge parameter. Consequently, the harmonic gauge appears to be a class of conditions, rather than a particular one. This allows to give a physical motivation for the covariant harmonic gauge(s), which emerges when the gravitational perturbation is given a mass term. In fact, for a particular choice of harmonic gauge, we find a theory of linearized massive gravity displaying five degrees of freedom, as it should, and which is not affected by the vDVZ discontinuity, differently from what happens in the standard Fierz-Pauli theory.
spellingShingle Gambuti, G
Maggiore, N
A note on harmonic gauge(s) in massive gravity
title A note on harmonic gauge(s) in massive gravity
title_full A note on harmonic gauge(s) in massive gravity
title_fullStr A note on harmonic gauge(s) in massive gravity
title_full_unstemmed A note on harmonic gauge(s) in massive gravity
title_short A note on harmonic gauge(s) in massive gravity
title_sort note on harmonic gauge s in massive gravity
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