Gravity Theories with Background Fields and Spacetime Symmetry Breaking
arXiv:1710.10615 · doi:10.3390/sym9100230
Abstract
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 Stuckelberg 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 Stuckelberg approach works, and how it is able to restore the broken spacetime symmetry in a theory with explicit breaking.
References in corpus (29)
- The Confrontation between General Relativity and Experiment
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Matter-gravity couplings and Lorentz violation
- Atom Interferometry tests of the isotropy of post-Newtonian gravity
- Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
- Prospects for Large Relativity Violations in Matter-Gravity Couplings
- What Do We Know About Lorentz Invariance?
- General Relativity and Cosmology: Unsolved Questions and Future Directions
- Editorial for the Special Issue 100 Years of Chronogeometrodynamics: The Status of the Einstein's Theory of Gravitation in Its Centennial Year
- Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging
- Short-range gravity and Lorentz violation
- Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars
- Tests of Lorentz symmetry in the gravitational sector
- Testing Lorentz symmetry with Lunar Laser Ranging
- Searching for photon-sector Lorentz violation using gravitational-wave detectors
- New pulsar limit on local Lorentz invariance violation of gravity in the standard-model extension
- Combined search for Lorentz violation in short-range gravity
- Lorentz Symmetry Violations from Matter-Gravity Couplings with Lunar Laser Ranging
- Vector models of gravitational Lorentz symmetry breaking
- Quantization and stability of bumblebee electrodynamics
- Orbital effects of Lorentz-violating Standard Model Extension gravitomagnetism around a static body: a sensitivity analysis
- Einstein-aether gravity: a status report
- Testing local Lorentz invariance with short-range gravity
- Noether identities in gravity theories with nondynamical backgrounds and explicit spacetime symmetry breaking
- Spontaneous Breaking of Lorentz Symmetry with an antisymmetric tensor
- Fundamental Constants in Physics and Their Time Variation
- Lorentz violation and higher-derivative gravity
- Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
- Lorentz breaking effective field theory models for matter and gravity: theory and observational constraints