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Article

Construction of Higher-Order Metric Fluctuation Terms in Spacetime Symmetry-Breaking Effective Field Theory

Physics Department, Embry-Riddle Aeronautical University, Prescott, AZ 86301, USA
Academic Editor: Matthew Mewes
Symmetry 2021, 13(5), 834; https://doi.org/10.3390/sym13050834
Received: 18 April 2021 / Revised: 27 April 2021 / Accepted: 30 April 2021 / Published: 10 May 2021
(This article belongs to the Special Issue Space-Time Symmetries and Violations of Lorentz Invariance)
We examined the basic conservation laws for diffeomorphism symmetry in the context of spontaneous diffeomorphism and local Lorentz-symmetry breaking. The conservation laws were used as constraints on a generic series of terms in an expansion around a flat background. We found 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. View Full-Text
Keywords: Lorentz violation; gravity; spontaneous-symmetry breaking Lorentz violation; gravity; spontaneous-symmetry breaking
MDPI and ACS Style

Bailey, Q.G. Construction of Higher-Order Metric Fluctuation Terms in Spacetime Symmetry-Breaking Effective Field Theory. Symmetry 2021, 13, 834. https://doi.org/10.3390/sym13050834

AMA Style

Bailey QG. Construction of Higher-Order Metric Fluctuation Terms in Spacetime Symmetry-Breaking Effective Field Theory. Symmetry. 2021; 13(5):834. https://doi.org/10.3390/sym13050834

Chicago/Turabian Style

Bailey, Quentin G. 2021. "Construction of Higher-Order Metric Fluctuation Terms in Spacetime Symmetry-Breaking Effective Field Theory" Symmetry 13, no. 5: 834. https://doi.org/10.3390/sym13050834

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