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arXiv · 2104.08930

Construction of higher-order metric fluctuation terms in spacetime symmetry-breaking effective field theory

Quentin G. Bailey
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Abstract

We examine the basic conservation laws for diffeomorphism symmetry in the context of spontaneous diffeomorphism and local Lorentz-symmetry breaking. The conservation laws are used as constraints on a generic series of terms in an expansion around a flat background. We find all such terms for a two-tensor coupling to cubic order in the metric and tensor field fluctuations. The results are presented in a form that can be used for phenomenological calculations. One key result is that if we preserve the underlying diffeomorphism symmetry in a spontaneous-symmetry breaking scenario, one cannot decouple the two-tensor fluctuations from the metric fluctuations at the level of the action, except in special cases of the quadratic actions.

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Quentin G. Bailey. 2021-04-18. Construction of higher-order metric fluctuation terms in spacetime symmetry-breaking effective field theory. https://doi.org/10.3390/sym13050834

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