New class of Proca interactions

Rham, Claudia de; Pozsgay, Victor

doi:10.1103/physrevd.102.083508

Cited by 38 publications

(39 citation statements)

References 104 publications

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“…It would be intriguing to explore whether this hypothesis might be dropped in order for the Proca and DHOST constraints to be realized in a way that would mix the canonical momenta associated with the vector and scalar fields. We remark that a related generalization of the Proca constraint has been studied recently in [56] in the context of pure vector-tensor theories. We plan to revisit these questions in future work.…”

Section: Discussionmentioning

confidence: 94%

On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories

García-Sáenz

2021

Universe

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We prove that vector fields described by the generalized Proca class of theories do not admit consistent coupling with a gravitational sector defined by a scalar–tensor theory of the degenerate type. Under the assumption that there exists a frame in which the Proca field interacts with gravity only through the metric tensor, our analysis shows that at least one of the constraints associated with the degeneracy of the scalar–tensor sector is inevitably lost whenever the vector theory includes coupling with the Christoffel connection.

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Section: Discussionmentioning

confidence: 94%

On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories

García-Sáenz

2021

Universe

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“…It would be intriguing to explore if this hypothesis might be dropped in order for the Proca and DHOST constraints to be realized in a way that would mix the canonical momenta associated to the vector and scalar fields. We remark that a related generalization of the Proca constraint has been studied recently in [59] in the context of pure vector-tensor theories. We plan to revisit these questions in future work.…”

Section: Discussionmentioning

confidence: 94%

On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories

Garcia-Saenz

2021

Preprint

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We prove that vector fields described by the generalized Proca class of theories do not admit a consistent coupling to a gravitational sector defined by a scalar-tensor theory of the degenerate type. Under the assumption that there exists a frame in which the Proca field interacts with gravity only through the metric tensor, our analysis shows that at least one of the constraints associated with the degeneracy of the scalar-tensor sector is inevitably lost whenever the vector theory includes a coupling to the Christoffel connection.1 In the context of higher-derivative theories, it is worth remarking that the Starobinsky model of inflation provides a healthy and consistent example of this class [3]. See also [4][5][6] for related works on inflationary models based on generalized scalartensor theories.

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“…Irrespectively of their precise origin, from a gravitational four-dimensional perspective, these extra degrees of freedom can most of the time be associated with additional helicity-0, -1 or -2 modes. The effect of the helicity-1 modes can often be associated with a generalized Proca model (see for instance [57][58][59][60][61][62][63][64][65][66][67]), although since all such Lorentz-invariant effective field theories also carry a helicity-0 mode, to start with we shall focus on the effect on a helicity-0 degrees of freedom. Taking an effective field theory point of view, one can construct the most general theories that involve a helicity-0 mode besides the standard helicity-2 ones that appear in GR.…”

Section: Introductionmentioning

confidence: 99%

Scattering amplitudes for binary systems beyond GR

González

Rham

Tolley

2021

J. High Energ. Phys.

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Amplitude methods have proven to be a promising technique to perform Post-Minkowskian calculations used as inputs to construct gravitational waveforms. In this paper, we show how these methods can be extended beyond the standard calculations in General Relativity with a minimal coupling to matter. As proof of principle, we consider spinless particles conformally coupled to a gravitational helicity-0 mode. We clarify the subtleties in the matching procedure that lead to the potential for conformally coupled matter. We show that in the probe particle limit, we can reproduce well known results for the field profile. With the scattering amplitudes at hand, we compute the conservative potential and scattering angle for the binary system. We find that the result is a non trivial expansion that involves not only the coupling strengths, but also a non trivial dependence on the energy/momentum of the scattered particles.

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New class of Proca interactions

Cited by 38 publications

References 104 publications

On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories

On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories

On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories

Scattering amplitudes for binary systems beyond GR

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