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Open AccessArticle

Gravity Theories with Background Fields and Spacetime Symmetry Breaking

Colby College, Department of Physics and Astronomy, Mayflower Hill 5862, Waterville, Maine, 04901, USA
Symmetry 2017, 9(10), 230; https://doi.org/10.3390/sym9100230
Received: 25 September 2017 / Revised: 6 October 2017 / Accepted: 10 October 2017 / Published: 16 October 2017
(This article belongs to the Special Issue Violation of Lorentz Symmetry)
An overview is given of effective gravitational field theories with fixed background fields that break spacetime symmetry. The behavior of the background fields and the types of excitations that can occur depend on whether the symmetry breaking is explicit or spontaneous. For example, when the breaking is spontaneous, the background field is dynamical and massless Nambu–Goldstone and massive Higgs excitations can appear. However, if the breaking is explicit, the background is nondynamical, and in this case additional metric or vierbein excitations occur due to the loss of local symmetry, or these excitations can be replaced by dynamical scalar fields using a Stückelberg approach. The interpretation of Noether identities that must hold in each case differs, depending on the type of symmetry breaking, and this affects the nature of the consistency conditions that must hold. The Noether identities also shed light on why the Stückelberg approach works, and how it is able to restore the broken spacetime symmetry in a theory with explicit breaking. View Full-Text
Keywords: gravity; background fields; Lorentz violation; Noether identities gravity; background fields; Lorentz violation; Noether identities
MDPI and ACS Style

Bluhm, R. Gravity Theories with Background Fields and Spacetime Symmetry Breaking. Symmetry 2017, 9, 230.

AMA Style

Bluhm R. Gravity Theories with Background Fields and Spacetime Symmetry Breaking. Symmetry. 2017; 9(10):230.

Chicago/Turabian Style

Bluhm, Robert. 2017. "Gravity Theories with Background Fields and Spacetime Symmetry Breaking" Symmetry 9, no. 10: 230.

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Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

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