Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model

Abstract

We investigate new aspects related to the abelian gauge-Higgs model with the addition of the Carroll-Field-Jackiw term. We focus on one-loop quantum corrections to the photon and Higgs sectors due to spontaneous breaking of gauge symmetry and show that new finite and definite Lorentz-breaking terms are induced. Specifically in the gauge sector, a CPT-even aether term is induced. Besides, aspects of the one-loop renormalization of the background vector dependent terms are discussed.

Subtle changes to match the published version. Some references added

References in corpus (19)

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• Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy
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• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension
• The ambiguity-free four-dimensional Lorentz-breaking Chern-Simons action
• Lorentz Violation and the Higgs Mechanism

Cited by in corpus (32)

• Black holes with a cosmological constant in bumblebee gravity
• Einstein-Hilbert Graviton modes modified by the Lorentz-violating bumblebee Field
• Asymptotic states and renormalization in Lorentz-violating quantum field theory
• Radiative generation of the CPT-even gauge term of the SME from a dimension-five nonminimal coupling term
• Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Constraining CPT-even and Lorentz-violating nonminimal couplings with the electron magnetic and electric dipole moments
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• Radiative corrections and Lorentz violation
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Arbitrariness in the gravitational Chern-Simons-like term induced radiatively
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
• Three-dimensional Lorentz-violating action
• No radiative corrections to the Carroll-Field-Jackiw term beyond one-loop order
• On the CPT-even Lorentz-breaking extension of the QED
• Exact black hole solutions in gravity with a background Kalb-Ramond field
• Renormalization in a Lorentz-violating model and higher-order operators
• Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED
• Lorentz-violating effects in three-dimensional $QED$
• Super-entropy bumblebee AdS black holes
• One-loop calculations in CPT-even Lorentz-breaking scalar QED
• Dual embedding of extended models with a Lorentz-breaking mass term
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• Two-loop corrections to the Carroll-Field-Jackiw term in a CPT-odd Lorentz-violating scalar QED
• Remarks on a Lorentz-breaking 4D chiral gauge theory
• Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED
• Optical and Thermodynamic Signatures of Lorentz Symmetry Breaking in Bumblebee AdS Black Holes
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background
• One-loop contributions in Lorentz-violating scalar QED with nonminimal coupling