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The Effective Field Theory of Vector-Tensor Theories

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arxiv 2111.08119 v2 pith:XIWGN4QJ submitted 2021-11-15 hep-th astro-ph.COgr-qc

The Effective Field Theory of Vector-Tensor Theories

classification hep-th astro-ph.COgr-qc
keywords theoriesvector-tensorcosmologicaleffectivesymmetryapproachbreakingcoefficients
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate a systematic formulation of vector-tensor theories based on the effective field theory (EFT) approach. The input of our EFT is that the spacetime symmetry is spontaneously broken by the existence of a preferred timelike direction in accordance with the cosmological principle. After clarifying the difference of the symmetry breaking pattern from the conventional EFT of inflation/dark energy, we find an EFT description of vector-tensor theories around the cosmological background. This approach not only serves as a unified description of vector-tensor theories but also highlights universal differences between the scalar-tensor theories and the vector-tensor theories. The theories having different symmetry breaking patterns are distinguished by a phenomenological function and consistency relations between the EFT coefficients. We study the linear cosmological perturbations within our EFT framework and discuss the characteristic properties of the vector-tensor theories in the context of dark energy. In particular, we compute the effective gravitational coupling and the slip parameter for the matter density contrast in terms of the EFT coefficients.

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