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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Format: | Journal article |
Language: | English |
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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. |
first_indexed | 2024-03-06T20:39:02Z |
format | Journal article |
id | oxford-uuid:33a3efa3-a5b5-423f-8523-5ce2145d0c06 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T20:39:02Z |
publishDate | 2020 |
publisher | Elsevier |
record_format | dspace |
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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