Antisymmetric tensor propagator with spontaneous Lorentz violation

Abstract

In this work, we study the spontaneous Lorentz symmetry breaking due to an antisymmetric 2-tensor field in Minkowski spacetime. For a smooth quadratic potential, the spectrum of the theory exhibits massless and massive excitations. We show that the equations of motion for the free field obey some constraints which lead to the massive mode be non-propagating at leading order. Besides, there exists a massless mode in the theory which can be identified with the usual Kalb-Ramond field, carrying only one on-shell degree of freedom. The same conclusion holds when one analyses the pole structure of its Feynman propagator. A new complete set of spin-type operators is found, which was the requirement to evaluate the propagator of the Kalb-Ramond field modified by the presence of a nonzero vacuum expectation value responsible for the Lorentz violation.

arXiv comment13 pages. Some modifications to match published version in EuroPhysics Letters

References in corpus (16)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• High-Energy Tests of Lorentz Invariance
• CPT, Strings, and Meson Factories
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• Lorentz violation with an antisymmetric tensor
• Spontaneous Lorentz Violation and Nonpolynomial Interactions
• Einstein-Hilbert Graviton modes modified by the Lorentz-violating bumblebee Field
• Matter-gravity scattering in the presence of spontaneous Lorentz violation
• Radiative corrections in bumblebee electrodynamics
• Spontaneous Breaking of Lorentz Symmetry with an antisymmetric tensor
• Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model
• Graviton Excitations and Lorentz-Violating Gravity with Cosmological Constant
• Charged Tensor Matter Fields and Lorentz Symmetry Violation via Spontaneous Symmetry Breaking

Cited by in corpus (28)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Modified black hole solution with a background Kalb-Ramond field
• Thermodynamic properties in higher-derivative electrodynamics
• Exploring antisymmetric tensor effects on black hole shadows and quasinormal frequencies
• Higher-derivative Lorentz-breaking dispersion relations: a thermal description
• Lorentz-violating scenarios in a thermal reservoir
• Gravitational traces of bumblebee gravity in metric-affine formalism
• Thermal aspects of interacting quantum gases in Lorentz-violating scenarios
• Particles in Loop Quantum Gravity formalism: a thermodynamical description
• Gravitational waves effects in a Lorentz-violating scenario
• Particle creation and evaporation in Kalb-Ramond gravity
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes
• Quantum aspects of antisymmetric tensor field with spontaneous Lorentz violation
• Influence of a Kalb-Ramond black hole on neutrino behavior
• Global monopole in a Ricci-coupled Kalb-Ramond bumblebee gravity
• Antisymmetric tensor influence on charged black hole lensing phenomena and time delay
• Black hole with global monopole charge in self-interacting Kalb-Ramond field
• Particle motion and thermal effects around a Kalb-Ramond black hole
• One-loop radiative corrections in bumblebee-Stueckelberg model
• Weak Gravitational Lensing in Ricci-Coupled Kalb-Ramond Bumblebee Gravity: Global Monopole and Axion-Plasmon Medium Effects
• Multimodal signatures of asymptotic (A)dS Kalb-Ramond black holes: Constraints through the shadow, weak deflection angle, and topological photon spheres
• Dual equivalence between self-dual and topologically massive $B\wedge F$ models coupled to matter in $3+1$ dimensions
• Lorentz-violating extension of scalar QED at finite temperature
• On the quantum equivalence of an antisymmetric tensor field with spontaneous Lorentz violation
• Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace
• Vacuum polarization and induced Maxwell and Kalb-Ramond effective action in very special relativity
• Covariant Quantum Gravitational Corrections to Scalar and Tensor Field Models