On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case

In this work we apply the Fradkin-Vasiliev formalism based on the frame-like gauge invariant description of the massive and massless spin 2 to the construction of the cubic interactions vertices for massive spin 2 self-interaction as well as its gravitational interaction. In the first case we show t...

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Autores principales:	M.V. Khabarov, Yu.M. Zinoviev
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/6340e8c3d9e94fa78598ac8e3c84745d
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id	oai:doaj.org-article:6340e8c3d9e94fa78598ac8e3c84745d
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spelling	oai:doaj.org-article:6340e8c3d9e94fa78598ac8e3c84745d2021-12-04T04:32:53ZOn massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case0550-321310.1016/j.nuclphysb.2021.115591https://doaj.org/article/6340e8c3d9e94fa78598ac8e3c84745d2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321002881https://doaj.org/toc/0550-3213In this work we apply the Fradkin-Vasiliev formalism based on the frame-like gauge invariant description of the massive and massless spin 2 to the construction of the cubic interactions vertices for massive spin 2 self-interaction as well as its gravitational interaction. In the first case we show that the vertex can be reduced (by field redefinitions) to the set of the trivially gauge invariant terms. There are four such terms which are not equivalent on-shell and do not contain more than four derivatives. Moreover, one their particular combination reproduces the minimal (with no more than two derivatives) vertex. As for the gravitational vertex, we show that due to the presence of the massless spin 2 there exist two abelian vertices (besides the three trivially gauge invariant ones) which are not equivalent to any trivially gauge invariant terms and can not be removed by field redefinitions. Moreover, their existence appears to be crucial for the possibility to reproduce the minimal two derivatives vertex.M.V. KhabarovYu.M. ZinovievElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115591- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 M.V. Khabarov Yu.M. Zinoviev On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
description	In this work we apply the Fradkin-Vasiliev formalism based on the frame-like gauge invariant description of the massive and massless spin 2 to the construction of the cubic interactions vertices for massive spin 2 self-interaction as well as its gravitational interaction. In the first case we show that the vertex can be reduced (by field redefinitions) to the set of the trivially gauge invariant terms. There are four such terms which are not equivalent on-shell and do not contain more than four derivatives. Moreover, one their particular combination reproduces the minimal (with no more than two derivatives) vertex. As for the gravitational vertex, we show that due to the presence of the massless spin 2 there exist two abelian vertices (besides the three trivially gauge invariant ones) which are not equivalent to any trivially gauge invariant terms and can not be removed by field redefinitions. Moreover, their existence appears to be crucial for the possibility to reproduce the minimal two derivatives vertex.
format	article
author	M.V. Khabarov Yu.M. Zinoviev
author_facet	M.V. Khabarov Yu.M. Zinoviev
author_sort	M.V. Khabarov
title	On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
title_short	On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
title_full	On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
title_fullStr	On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
title_full_unstemmed	On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
title_sort	on massive spin-2 in the fradkin-vasiliev formalism. ii. general massive case
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/6340e8c3d9e94fa78598ac8e3c84745d
work_keys_str_mv	AT mvkhabarov onmassivespin2inthefradkinvasilievformalismiigeneralmassivecase AT yumzinoviev onmassivespin2inthefradkinvasilievformalismiigeneralmassivecase
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On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case

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