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Related papers: Beyond generalized Proca theories

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The beyond-generalized Proca theories are the extension of second-order massive vector-tensor theories (dubbed generalized Proca theories) with two transverse vector modes and one longitudinal scalar besides two tensor polarizations. Even…

General Relativity and Quantum Cosmology · Physics 2017-05-11 Shintaro Nakamura , Ryotaro Kase , Shinji Tsujikawa

We consider a massive vector field with derivative interactions that propagates only the 3 desired polarizations (besides two tensor polarizations from gravity) with second-order equations of motion in curved space-time. The cosmological…

General Relativity and Quantum Cosmology · Physics 2016-07-05 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Mukohyama , Shinji Tsujikawa , Ying-li Zhang

We consider the finite interactions of the generalized Proca theory including the sixth-order Lagrangian and derive the full linear perturbation equations of motion on the flat Friedmann-Lema\^{i}tre-Robertson-Walker background in the…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Mukohyama , Shinji Tsujikawa , Ying-li Zhang

The scalar-vector-tensor theories with second-order equations of motion can accommodate both Horndeski and generalized Proca theories as specific cases. In the presence of a perfect fluid, we study the cosmology in such a most general…

General Relativity and Quantum Cosmology · Physics 2018-11-20 Ryotaro Kase , Shinji Tsujikawa

We reconsider the construction of general derivative self-interactions for a massive Proca field. The constructed Lagrangian is such that the vector field propagates at most three degrees of freedom, thus avoiding the ghostly nature of a…

High Energy Physics - Theory · Physics 2020-04-13 Jose Beltrán Jiménez , Claudia de Rham , Lavinia Heisenberg

Under the same spirit of the Galileon-Horndeski theories and their more modern extensions, the generalized SU(2) Proca theory was built by demanding that its action may be free of the Ostrogradski's instability. Nevertheless, the theory…

General Relativity and Quantum Cosmology · Physics 2019-10-30 L. Gabriel Gomez , Yeinzon Rodriguez

We consider the Lagrangian of a vector field with derivative self-interactions with a priori arbitrary coefficients. Starting with a flat space-time we show that for a special choice of the coefficients of the self-interactions the…

High Energy Physics - Theory · Physics 2019-08-02 Lavinia Heisenberg

In Gleyzes-Langlois-Piazza-Vernizzi (GLPV) scalar-tensor theories, which are outside the domain of second-order Horndeski theories, it is known that there exists a solid angle deficit singularity in the case where the parameter $\alpha_{\rm…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

In this paper, we study polarization modes of gravitational waves in generalized Proca theory in the homogeneous and isotropic Minkowski background. The results show that the polarizations of gravitational waves depend on the parameter…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Yu-Qi Dong , Yu-Qiang Liu , Yu-Xiao Liu

In this work we revisit the construction of theories for a massive vector field with derivative self-interactions such that only the 3 desired polarizations corresponding to a Proca field propagate. We start from the decoupling limit by…

High Energy Physics - Theory · Physics 2016-11-22 Jose Beltrán Jiménez , Lavinia Heisenberg

We present a method for parametrizing linear cosmological perturbations of theories of gravity, around homogeneous and isotropic backgrounds. The method is sufficiently general and systematic that it can be applied to theories with any…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Macarena Lagos , Tessa Baker , Pedro G. Ferreira , Johannes Noller

We show a new class of interaction terms with higher derivatives that can be added to every low derivative real scalar, such that the theory is degenerate, and the equation of motion remains of second order. In contrast to previous setups,…

High Energy Physics - Theory · Physics 2021-03-22 Justo Lopez-Sarrion , Mauricio Valencia-Villegas

We present the most general ghost-free classical Lagrangian containing first-order derivatives and describing interacting real Abelian spin-one fields on Minkowski spacetime. We study both massive Proca and massless Maxwell fields and allow…

High Energy Physics - Theory · Physics 2020-02-26 Verónica Errasti Díez , Brage Gording , Julio A. Méndez-Zavaleta , Angnis Schmidt-May

Generalised Proca theories of gravity represent an interesting class of vector-tensor theories where only three propagating degrees of freedom are present. In this work, we propose a new teleparallel gravity analog to Proca theories where…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Gianbattista-Piero Nicosia , Jackson Levi Said , Viktor Gakis

In beyond-generalized Proca theories including the extension to theories higher than second order, we study the role of a spatial component $v$ of a massive vector field on the anisotropic cosmological background. We show that, as in the…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

These proceedings summarise some recent efforts in understanding a class of vector-tensor theories known as {\it bumblebee} models, which spontaneously break local Lorentz and diffeomorphism invariance. Using cosmological perturbation…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Nils A. Nilsson

We study Proca theory with non-minimal coupling to gravity through the Ricci tensor and Ricci scalar interactions. We show that in the homogeneous and isotropic Universe together with cosmological constant, the temporal component of the…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Antonio De Felice , Anamaria Hell

We introduce a new class of scalar-tensor theories that extend Horndeski, or "generalized galileon", models. Despite possessing equations of motion of higher order in derivatives, we show that the true propagating degrees of freedom obey…

High Energy Physics - Theory · Physics 2015-06-03 Jérôme Gleyzes , David Langlois , Federico Piazza , Filippo Vernizzi

The generalized Proca theories with second-order equations of motion can be healthily extended to a more general framework in which the number of propagating degrees of freedom remains unchanged. In the presence of a quartic-order…

General Relativity and Quantum Cosmology · Physics 2018-06-15 Ryotaro Kase , Masato Minamitsuji , Shinji Tsujikawa

In the Horndeski's most general scalar-tensor theories with second-order field equations, we derive the conditions for the avoidance of ghosts and Laplacian instabilities associated with scalar, tensor, and vector perturbations in the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Antonio De Felice , Shinji Tsujikawa
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