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 (57)
- The Confrontation between General Relativity and Experiment
- Lorentz-Violating Extension of the Standard Model
- CPT Violation and the Standard Model
- Data Tables for Lorentz and CPT Violation
- Gravity, Lorentz Violation, and the Standard Model
- Massive Gravity
- Theoretical Aspects of Massive Gravity
- Modern tests of Lorentz invariance
- Chern-Simons Modification of General Relativity
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- Varying constants, Gravitation and Cosmology
- Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
- Stability, Causality, and Lorentz and CPT Violation
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
- Einstein-Aether Waves
- 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?
- Spacetime-varying couplings and Lorentz violation
- Testing local Lorentz invariance with gravitational waves
- General Relativity and Cosmology: Unsolved Questions and Future Directions
- Lorentz violation with an antisymmetric tensor
- Strong Binary Pulsar Constraints on Lorentz Violation in Gravity
- 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
- Atom interferometry tests of local Lorentz invariance in gravity and electrodynamics
- Constraints and Stability in Vector Theories with Spontaneous Lorentz Violation
- Overview of the SME: Implications and Phenomenology of Lorentz Violation
- Constraints on Lorentz violation from gravitational Cherenkov radiation
- Cosmological acceleration, varying couplings, and Lorentz breaking
- Gravity from spontaneous Lorentz violation
- Short-range gravity and Lorentz violation
- Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars
- Explicit versus Spontaneous Diffeomorphism Breaking in Gravity
- Tests of Lorentz symmetry in the gravitational sector
- Generalized bumblebee models and Lorentz-violating electrodynamics
- 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
- Spacetime Symmetry Breaking and Einstein-Maxwell Theory
- Lorentz violation and higher-derivative gravity
- Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
- Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
- Lorentz breaking effective field theory models for matter and gravity: theory and observational constraints
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- Backgrounds in gravitational effective field theory
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- 3+1 Formulation of the Standard-Model Extension Gravity Sector
- Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
- Slow-roll inflation in generalized scalar-torsion gravity
- Gravity with Explicit Diffeomorphism Breaking
- Is there any symmetry left in gravity theories with explicit Lorentz violation?
- Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
- Scalar fields and Lifshitz black holes from Derrick's theorem evasion
- Lorentz-violating gravity and the bootstrap procedure
- Charged Lifshitz black holes from general covariance breaking
- A 3+1 Decomposition of the Minimal Standard-Model Extension Gravitational Sector
- Contributions of a Modified Electrodynamics to the Molecular Biochirality
- -perturbative solutions of quantum Snyder and Yang models with parameters describing spontaneous symmetry breaking
- Diffeomorphism Invariance Breaking in Gravity and Cosmological Evolution