Spontaneous Lorentz symmetry breaking and one-loop effective action in the metric-affine bumblebee gravity
arXiv:2202.11613 · doi:10.1088/1475-7516/2022/07/018
Abstract
The metric-affine bumblebee model in the presence of fermionic matter minimally coupled to the connection is studied. We show that the model admits an Einstein frame representation in which the matter sector is described by a non-minimal Dirac action without any analogy in the literature. Such non-minimal terms involve unconventional couplings between the bumblebee and the fermion field. We then rewrite the quadratic fermion action in the Einstein frame in the basis of 16 Dirac matrices in order to identify the coefficients for Lorentz/CPT violation in all orders of the non-minimal coupling . The exact result for the fermionic determinant in the Einstein frame, including all orders in , is also provided. We demonstrate that the axial contributions are at least of second order in the perturbative expansion of . Furthermore, we compute the one-loop effective potential within the weak field approximation.
arXiv comment27 pages, 1 figure, version accepted for publication to JCAP
References in corpus (47)
- Lorentz-Violating Extension of the Standard Model
- CPT Violation and the Standard Model
- Relativistic gravitation theory for the MOND paradigm
- Gravity, Lorentz Violation, and the Standard Model
- Gravity with a dynamical preferred frame
- Chern-Simons Modification of General Relativity
- Palatini Approach to Modified Gravity: f(R) Theories and Beyond
- Physical Aspects of the Space-Time Torsion
- Stability, Causality, and Lorentz and CPT Violation
- CPT, Strings, and Meson Factories
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
- Born-Infeld inspired modifications of gravity
- An exact Schwarzschild-like solution in a bumblebee gravity model
- Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
- Black holes with a cosmological constant in bumblebee gravity
- Ghosts in metric-affine higher order curvature gravity
- Backgrounds in gravitational effective field theory
- Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
- A New Class of Ghost and Tachyon Free Metric Affine Gravities
- Schwarzschild-like black hole with a topological defect in bumblebee gravity
- Aether Compactification
- Instabilities in Metric-Affine Theories of Gravity
- Spontaneous growth of vector fields in gravity
- Generalized bumblebee models and Lorentz-violating electrodynamics
- On the perturbative generation of the higher-derivative Lorentz-breaking terms
- Parity-Violating Gravity and GW170817 in Non-Riemannian Cosmology
- A simple parity violating gravity model without ghost instability
- Vector models of gravitational Lorentz symmetry breaking
- A note on the heat kernel method applied to fermions
- Quasinormal modes of Schwarzschild black holes in projective invariant Chern-Simons modified gravity
- Revisiting the Stability of Quadratic Poincaré Gauge Gravity
- Constraints on Nonmetricity from Bounds on Lorentz Violation
- Metric-affine bumblebee gravity: classical aspects
- Radiative corrections in metric-affine bumblebee model
- Minimal coupling in presence of non-metricity and torsion
- Bumblebee field as a source of cosmological anisotropies
- Radiative corrections and Lorentz violation
- Effects of Gravitational Chern-Simons during Axion-SU(2) Inflation
- Generalized disformal coupling leads to spontaneous tensorization
- Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures
- Massive vector field on curved background: non-minimal coupling, quantization and divergences
- Induced gravitational topological term and the Einstein-Cartan modified theory
- Vector stability in quadratic metric-affine theories
- Higher derivative scalar-tensor theory from the spatially covariant gravity: a linear algebraic analysis
- Collective scalarization or tachyonization: when averaging fails
- Vacuum contribution of photons in the theory with Lorentz and CPT-violating terms
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- Modified-gravity theories with nondynamical background fields
- Cosmology in the presence of diffeomorphism-violating, nondynamical background fields