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Massive, topologically massive, models

Deser, S. and Tekin, Bayram (2002) Massive, topologically massive, models. Classical and Quantum Gravity, 19 (11). L97-L100. ISSN 0264-9381. doi:10.1088/0264-9381/19/11/101.

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In three dimensions, there are two distinct mass-generating mechanisms for gauge fields: adding the usual Proca/Pauli–Fierz, or the more esoteric Chern–Simons (CS), terms. Here, we analyse the three-term models where both types are present and their various limits. Surprisingly, in the tensor case, these seemingly innocuous systems are physically unacceptable. If the sign of the Einstein term is 'wrong', as is in fact required in the CS theory, then the excitation masses are always complex; with the usual sign, there is a (known) region of the two mass parameters where reality is restored, but instead a ghost problem arises, while for the 'pure mass' two-term system without an Einstein action, complex masses are unavoidable. This contrasts with the smooth behaviour of the corresponding vector models. Separately, we show that the 'partial masslessness' exhibited by (plain) massive spin-2 models in de Sitter backgrounds is shared by the three-term system: it also enjoys a reduced local gauge invariance when this mass parameter is tuned to the cosmological constant.

Item Type:Article
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URLURL TypeDescription Paper
Deser, S.0000-0001-9285-9434
Additional Information:© 2002 IOP Publishing Ltd. Received 3 April 2002; Published 13 May 2002. We thank A Waldron for discussions. This work was supported by the National Science Foundation grant PHY99-73935.
Funding AgencyGrant Number
Issue or Number:11
Classification Code:PACS numbers: 0370, 0460, 1115
Record Number:CaltechAUTHORS:20170524-134531065
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Official Citation:S Deser and Bayram Tekin 2002 Class. Quantum Grav. 19 L97
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77720
Deposited By: Tony Diaz
Deposited On:24 May 2017 21:12
Last Modified:15 Nov 2021 17:33

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