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Backgrounds in gravitational effective field theory
- Physics
- 2020
Effective field theories describing gravity coupled to matter are investigated, allowing for operators of arbitrary mass dimension. Terms violating local Lorentz and diffeomorphism invariance while…
Gauge field theories with Lorentz-violating operators of arbitrary dimension
- PhysicsPhysical Review D
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The classification of Lorentz- and $CPT$-violating operators in non-Abelian gauge field theories is performed. We construct all gauge-invariant terms describing propagation and interaction in the…
Construction of Higher-Order Metric Fluctuation Terms in Spacetime Symmetry-Breaking Effective Field Theory
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If the underlying diffeomorphism symmetry is preserved 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.
Modified-gravity theories with nondynamical background fields
- Physics, Mathematics
- 2022
We study the dynamics of a modified-gravity theory, which is supplemented by an extended Gibbons-Hawking-York boundary term and incorporates diffeomorphism violation through nondynamical background…
On Plane Wave Solutions in Lorentz-Violating Extensions of Gravity
- Physics, MathematicsGalaxies
- 2021
In this paper, we obtain dispersion relations corresponding to plane wave solutions in Lorentz-breaking extensions of gravity with dimension 3, 4, 5 and 6 operators. We demonstrate that these…
Hamiltonian formulation of an effective modified gravity with nondynamical background fields
- PhysicsPhysical Review D
- 2021
The current paper is dedicated to developing a (3 + 1) decomposition for the minimal gravitational Standard-Model Extension. Our setting is explicit diffeomorphism violation and we focus on the…
Symmetry algebra in gauge theories of gravity
- MathematicsClassical and Quantum Gravity
- 2019
Diffeomorphisms and an internal symmetry (e.g. local Lorentz invariance) are typically regarded as the symmetries of any geometrical gravity theory, including general relativity. In the first-order…
Is There Any Symmetry Left in Gravity Theories with Explicit Lorentz Violation?
- PhysicsSymmetry
- 2018
Using a robust algorithm, an example of such a theory, known as the minimal gravity sector of the Standard Model Extension, is analyzed and it is shown that local translations are not a symmetry of the theory.
Signals for Lorentz violation in gravitational waves
- PhysicsPhysical Review D
- 2019
Lorentz violations in gravitational waves are investigated. Plane-wave solutions for arbitrary gauge-invariant violations in linearized gravity are constructed. Signatures of Lorentz violation…
Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model extension at higher orders in Lorentz violation
- Physics
- 2021
We present new results for classical-particle propagation subject to Lorentz violation. Our analysis is dedicated to spinnondegenerate operators of arbitrary mass dimension provided by the fermion…
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