Generalized Proca action for an Abelian vector field

By E. Allys, P. Peter, Y. Rodríguez. 2015

187 citations recorded by the source corpus.

We revisit the most general theory for a massive vector field with derivative self-interactions, extending previous works on the subject to account for terms having trivial total derivative interactions for the longitudinal mode. In the flat spacetime (Minkowski) case, we obtain all the possible terms containing products of up to five first-order derivatives of the vector field, and provide a conjecture about higher-order terms. Rendering the metric dynamical, we covariantize the results and add all possible terms implying curvature.

Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2276848952cc481bc85e91e79c3e02dabcbee9e9

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In Astronomy and Astrophysics

In Mathematical Physics

Lavinia Heisenberg

In Nuclear and High Energy Physics

Citations in the corpus

Cosmology in generalized Proca theories (2016, background): “6) the terms multiplied by the constants c2 and d2 can be expressed in terms of Fμν [70, 80], so they can be regarded as intrinsic vector modes (i.”
Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, background): “Proca theories have been generalized to include explicit gravitational interactions of a massive vector field (Heisenberg, 2014; Tasinato, 2014; Allys et al., 2016a; Beltran Jimenez and Heisenberg, 2016).”
Generalization of the Proca Action (2014, background): “The fifth order interaction F̃F̃ μ∇αAβ does not need any non-minimal coupling on curved backgrounds in order to compensate higher order equations of motion [11, 12], unless the sixth order Lagrangian F̃F̃ ∇αAμ∇βAν [12], which requires the relative tuning with the non-minimal coupling between the fie”