Dynamical Lorentz Symmetry Breaking in a Scale-free Theory of Gravity
arXiv:2406.08309 · doi:10.1103/PhysRevD.110.125007
Abstract
This paper explores the renormalization of scale-free quadratic gravity coupled to the bumblebee field and its potential for dynamically breaking Lorentz symmetry. We conduct one-loop renormalization of the model and calculate the associated renormalization group functions. Furthermore, we compute the one-loop effective potential for the bumblebee field, demonstrating that it acquires a non-trivial vacuum expectation value (VEV) through radiative corrections -- a phenomenon known as the Coleman-Weinberg mechanism. This spontaneous breaking of scale invariance, driven by the non-zero VEV of the bumblebee field, leads to Lorentz symmetry violation. As a result, the non-minimal coupling between the bumblebee and gravitational fields induces a spontaneous generation of an Einstein-Hilbert term via radiative corrections, suggesting a possible link between the Planck scale and Lorentz violation phenomena.
arXiv comment21 pages, references added, version accepted to PRD
References in corpus (43)
- FeynRules 2.0 - A complete toolbox for tree-level phenomenology
- Generating Feynman Diagrams and Amplitudes with FeynArts 3
- Data Tables for Lorentz and CPT Violation
- Gravity, Lorentz Violation, and the Standard Model
- General relativity as an effective field theory: The leading quantum corrections
- FeynRules - Feynman rules made easy
- New Developments in FeynCalc 9.0
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- FeynCalc 9.3: New features and improvements
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
- Dark Light, Dark Matter and the Misalignment Mechanism
- Agravity
- Exact traversable wormhole solution in bumblebee gravity
- An exact Schwarzschild-like solution in a bumblebee gravity model
- Aspects of Quadratic Gravity
- Quadratic Gravity
- Agravity up to infinite energy
- Backgrounds in gravitational effective field theory
- The flight of the bumblebee: vacuum solutions of a gravity model with vector-induced spontaneous Lorentz symmetry breaking
- FeynHelpers: Connecting FeynCalc to FIRE and Package-X
- A QCD analogy for quantum gravity
- The Ultraviolet Behavior Of Quantum Gravity
- Einstein-Hilbert Graviton modes modified by the Lorentz-violating bumblebee Field
- Inflationary universe from higher-derivative quantum gravity
- Dynamically induced Planck scale and inflation in the Palatini formulation
- Vacuum solution within a metric-affine bumblebee gravity
- Naturalness and Dimensional Transmutation in Classically Scale-Invariant Gravity
- Cosmological implications of Bumblebee vector models
- An exact stationary axisymmetric vacuum solution within a metric--affine bumblebee gravity
- Radiative Electroweak Symmetry-Breaking Revisited
- Radiative corrections in metric-affine bumblebee model
- Inflationary universe from higher derivative quantum gravity coupled with scalar electrodynamics
- Gödel-type universes in bumblebee gravity
- A Unique Determination of the Effective Potential in Terms of Renormalization Group Functions
- Higher Order Stability of a Radiatively Induced 220 GeV Higgs Mass
- Renormalization Group and Conformal Symmetry Breaking in the Chern-Simons Theory Coupled to Matter
- Gravitational Coleman-Weinberg Mechanism
- No black holes from light
- Inflation and dark matter after spontaneous Planck scale generation by hidden chiral symmetry breaking
- Renormalization group improvement of the effective potential in six dimensions
- Renormalization Group Improvement of the Superpotential for the N=2 Chern-Simons-matter model
- On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime