Spontaneous Lorentz Violation and Nonpolynomial Interactions

Abstract

Gauge-noninvariant vector field theories with superficially nonrenormalizable nonpolynomial interactions are studied. We show that nontrivial relevant and stable theories have spontaneous Lorentz violation, and we present a large class of asymptotically free theories. The Nambu-Goldstone modes of these theories can be identified with the photon, with potential experimental implications.

10 pages, accepted in Physics Letters B

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• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
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• Synchrotron and Inverse Compton Constraints on Lorentz Violations for Electrons
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• Cosmological implications of Bumblebee vector models
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• Astrophysical Limits on Lorentz Violation for All Charged Species
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• The fate of non-polynomial interactions in scalar field theory
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• Dynamical Lorentz symmetry breaking in a 4D massless four-fermion model
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• Supersymmetry Breaking in Spatially Modulated Vacua
• Lorentz Violation and Faddeev-Popov Ghosts
• Gravity from Local Lorentz Violation
• Nambu-Goldstone Modes in Gravitational Theories with Spontaneous Lorentz Breaking
• CPT and Lorentz-invariance violation
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• Spontaneous symmetry breaking in models with second-class constraints
• Bumblebee gravity: spherically-symmetric solutions away from the potential minimum
• One-loop radiative corrections in bumblebee-Stueckelberg model
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Antimatter, the SME, and Gravity
• Gravitational time advancement effect in Bumblebee gravity for Earth bound systems
• Static Spherical Vacuum Solution to Bumblebee Gravity with Time-like VEVs
• Observational Constraints on Local Lorentz Invariance
• Atomic and optical tests of Lorentz symmetry
• Anisotropic cosmology in Bumblebee gravity theory
• Superradiance scattering of scalar, electromagnetic, and gravitational fields and thin accretion disk around non-commutating Kerr black hole
• K-essence Explains a Lorentz Violation Experiment
• Derivative four-fermion model, effective action and bumblebee generation
• Lorentz Violation with Gravitational Waves: Constraints from NANOGrav and IPTA Data
• Photon-photon scattering and tests of gauge invariance
• CPT-symmetry studies with antihydrogen
• Probing Relativity using Space-Based Experiments
• Coupling Right- and Left-Handed Photons Differently to Charged Matter
• Ultra-high energy cosmic rays with UFA-15 source model in Bumblebee gravity theory
• Antimatter-Gravity Couplings, and Lorentz Symmetry
• Non-metricity effects on electron scattering in bumblebee gravity