Unitarity of Singh-Hagen model in $D$ dimensions

Mendonça, E. L.; Bittencourt, R. Schimidt

doi:10.48550/arxiv.1902.05118

Cited by 4 publications

(6 citation statements)

References 7 publications

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“…The SH model for massive spin-3 particles is free of ghosts in D dimensions. The coefficients of the auxiliary action are dimension dependents, and can be determined even through the equations of motion, as the authors have showed in [13], as also through a choice of proper spin-projection and transition operators as we have verified in [14]. Using scalar auxiliary fields, it is given by:…”

Section: Introductionmentioning

confidence: 89%

Unitarity of higher derivative spin-3 models

Mendonça

Bittencourt

2020

Annals of Physics

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The fourth order in derivatives New Massive Gravity model NMG, describes a massive spin-2 particle in D = 2+1. At the linearized level a proof of unitarity necessarily implies that the generalization to higher dimensions includes non-unitary massless spin-2 modes. The linearized version of NMG is dual to the Fierz-Pauli model FP. Here we examine the unitarity of higher derivative spin-3 models, analogues to the NMG, dual to the Singh-Hagen model SH. We find that the same kind of restriction on the dimension of the space also happens in this case, and the models are physical only in D = 2 + 1.

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Section: Introductionmentioning

confidence: 89%

Unitarity of higher derivative spin-3 models

Mendonça

Bittencourt

2020

Annals of Physics

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“…We think that, this might be the reason why that model requires the scalar auxiliary field. Thanks the absence of auxiliary fields we have been able to check here unitarity and particle content using the spin-projection operators displayed in [22].…”

Section: Soldering Sixth Order Spin-self-dual Modelsmentioning

confidence: 99%

“…We have used the same orthonormal basis of [22], which is the rank three analogue of the Barnes and Rivers projection operators for rank-two tensors [23,24], in the sense that they are constructed from the same building blocks operators θ µν and ω µν , for more details see our appendix. They obey the following algebra…”

Section: Unitarity Of the Doublet Modelmentioning

confidence: 99%

“…If i = j we have a projection operator while i = j stands for a transition operator. The subscripts are used in order to count the number of projectors of a given spin subspace, for example in the subspace of spin 0 we have two projection operators P (0) 11 and P (0) 22 , see (77) and (78). In addition, the set of projectors is complete in the sense that:…”

Section: Unitarity Of the Doublet Modelmentioning

confidence: 99%

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Soldering spin-3 opposite helicities in D=2+1

et al. 2019

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Here we present the "soldering" of opposite helicity states of a spin-3 particle, in D = 2 + 1, into one parity doublet. The starting points may be either the sixth-or the fifth-order (in derivatives) spin-3 self-dual models of opposite helicities. The high number of derivatives avoids the use of auxiliary fields which has been so far an obstacle for a successful soldering procedure. The resulting doublet model is a new Lagrangian with six orders in derivatives and no auxiliary field. It may be regarded as a spin-3 analogue of the linearized "New Massive Gravity". We check its particle content via a gauge invariant and Lorentz covariant analysis of the analytic structure of the twopoint amplitude with the help of spin-3 analogues of the Barnes and Rivers projection operators. The particle content is alternatively confirmed in a specific non-covariant gauge by a decomposition in helicity variables. The soldered model is ghost free and contains two physical states as expected for a parity doublet. *

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“…Substituting this back into the action, Fourier transforming and expressing the result in terms of the spin projection operators gives [56] S = − 1 2…”

Section: D62 Using a Hook Symmetric Tensormentioning

confidence: 99%

Metric-Affine Gravity as an Effective Field Theory

Baldazzi,

Melichev,

Percacci

2021

Preprint

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We discuss theories of gravity with independent metric (or frame field) and connection, from the point of view of effective field theory. We count the parity-even Lagrangian terms of dimension up to four and give explicit bases for the independent terms that contribute to the two-point function. We then give the decomposition of the linearized action on a complete basis of spin projectors and consider various subclasses of MAGs. We show that teleparallel theories can be dynamically equivalent to any metric theory of gravity and give the particle content of those whose Lagrangian contains only dimension-two terms. We point out the existence of a class of MAGs whose EOMs do not admit propagating degrees of freedoms. Finally, we construct simple MAGs that contain only a massless graviton and a state of spin/parity 2 − or 3 − . As a side result, we write the relativistic wave equation for a spin/parity 2 − state.

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Unitarity of Singh-Hagen model in $D$ dimensions

Cited by 4 publications

References 7 publications

Unitarity of higher derivative spin-3 models

Unitarity of higher derivative spin-3 models

Soldering spin-3 opposite helicities in D=2+1

Metric-Affine Gravity as an Effective Field Theory

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