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Dalmazi, D.; Mendonça, E. L.

doi:10.1103/physrevd.80.025017

Cited by 30 publications

(67 citation statements)

References 22 publications

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“…We remark that if b = 0, the arbitrary parameter s disappears from (10) and we end up with an off-shell traceless description of massive spin-2 particles L nF P (c = −1/D), see (14), confirming that the arbitrariness of the L nF P (c) family stems indeed from the arbitrary mass term in (3) and not from the arbitrariness in the shift (4). Now, it is a good moment to introduce the third family of Lagrangians describing a massive spin-2 particle.…”

Section: "Spin-2" Particles In D ≥ 3 Dimensionsmentioning

confidence: 99%

Massive “spin-2” theories in arbitrary D≥3 dimensions

2015

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Here we show that in arbitrary dimensions D ≥ 3 there are two families of second order Lagrangians describing massive "spin-2" particles via a nonsymmetric rank-2 tensor. They differ from the usual Fierz-Pauli theory in general. At zero mass one of the families is Weyl invariant. Such massless theory has no particle content in D = 3 and gives rise, via master action, to a dual higher order ( in derivatives ) description of massive spin-2 particles in D = 3 where both the second and the fourth order terms are Weyl invariant, contrary to the linearized New Massive Gravity. However, only the fourth order term is invariant under arbitrary antisymmetric shifts. Consequently, the antisymmetric part of the tensor e [µν] propagates at large momentum as 1/p 2 instead of 1/p 4 . So, the same kind of obstacle for the renormalizability of the New Massive Gravity reappears in this nonsymmetric higher order description of massive spin-2 particles. *

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Section: "Spin-2" Particles In D ≥ 3 Dimensionsmentioning

confidence: 99%

Massive “spin-2” theories in arbitrary D≥3 dimensions

2015

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“…1 In a more general situation we might try to combine the three different spin two mass terms altogether [18] S GSD = a 0 2 f…”

Section: Generalized Self-dual Model Of Spin Two and Its Dualmentioning

confidence: 99%

Dual descriptions of spin-two massive particles inD=2+1via master actions

Dalmazi

Mendonça

2009

Phys. Rev. D

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In the first part of this work we show the decoupling (up to contact terms) of redundant degrees of freedom which appear in the covariant description of spin two massive particles in D = 2 + 1. We make use of a master action which interpolates, without solving any constraints, between a first, second and third order (in derivatives) self-dual model. An explicit dual map between those models is derived. In our approach the absence of ghosts in the third order self-dual model, which corresponds to a quadratic truncation of topologically massive gravity, is due to the triviality (no particle content) of the Einstein-Hilbert action in D = 2 + 1. In the second part of the work, also in D = 2 + 1, we prove the quantum equivalence of the gauge invariant sector of a couple of self-dual models of opposite helicities (+2 and −2) and masses m + and m − to a generalized self-dual model which contains a quadratic Einstein-Hilbert action, a Chern-Simons term of first order and a Fierz-Pauli mass term. The use of a first order Chern-Simons term instead of a third order one avoids conflicts with the sign of the Einstein-Hilbert action.

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“…The two massive modes of this model are known to be obtained from a doublet of selfdual models with helicity AE1 [4,5], a fact that was briefly suggested in [6]. Very recently, similar notions and concepts have been exploited to study a new version of topologically massive gravity [7,8]. The present paper is devoted to this aspect, albeit from a more general perspective.…”

Section: Introductionmentioning

confidence: 96%