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arXiv · 1807.10284

Gravitational Properties of the Proca Field

Talal Ahmed Chowdhury·Rakibur Rahman·Zulfiqar Ali Sabuj
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Abstract

We study various properties of a Proca field coupled to gravity through minimal and quadrupole interactions, described by a two-parameter family of Lagrangians. Stückelberg decomposition of the effective theory spells out its model-dependent ultraviolet cutoff, parametrically larger than the Proca mass. We present pp-wave solutions that the model admits, consider linear fluctuations on such backgrounds, and thereby constrain the parameter space of the theory by requiring null-energy condition and the absence of negative time delays in high-energy scattering. We briefly discuss the positivity constraints$-$derived from unitarity and analyticity of scattering amplitudes$-$that become ineffective in this regard.

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Talal Ahmed Chowdhury, Rakibur Rahman, Zulfiqar Ali Sabuj. 2018-08-16. Gravitational Properties of the Proca Field. https://doi.org/10.1016/j.nuclphysb.2018.09.009

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