On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action

Abstract

A four-dimensional Lorentz-breaking non-Abelian Chern-Simons like action is generated as a one-loop perturbative correction via an appropriate Lorentz-breaking coupling of the non-Abelian gauge field to the spinor field. This term is shown to be regularization dependent but nevertheless it can be found unambiguously in different regularization schemes at zero and finite temperature.

arXiv commentaccepted version in Physical Review D

References in corpus (32)

• String Theory and Noncommutative Geometry
• Gravity, Lorentz Violation, and the Standard Model
• High-Energy Tests of Lorentz Invariance
• Noncommutative Field Theory and Lorentz Violation
• Generalized Lorentz invariance with an invariant energy scale
• Gravity's Rainbow
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Lorentz invariance and quantum gravity: an additional fine-tuning problem?
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• Bounding Noncommutative QCD
• When radiative corrections are finite but undetermined
• Lorentz and CPT violations from Chern-Simons modifications of QED
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
• Noncommutativity in Field Space and Lorentz Invariance Violation
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• Lorentz and CPT Violating Chern-Simons Term in the Derivative Expansion of QED
• Noncommutative field theory and violation of translation invariance
• Supersymmetric Noncommutative QED and Lorentz Violation
• Quantum Theory of Noncommutative Fields
• A Remark on Lorentz Violation at Finite Temperature
• U(1) Noncommutative Gauge Fields and Magnetogenesis
• Radiatively Induced Lorentz and CPT Violation in Schwinger Constant Field Approximation
• Chern-Simons-like action induced radiatively in General Relativity
• Chern-Simons like term generation in an extended model of QED under external conditions
• The structure of radiatively induced Lorentz and CPT violation in QED at finite temperature
• Lorentz Symmetry Derived from Lorentz Violation in the Bulk
• Vortices, Infrared effects and Lorentz Invariance Violation
• Lorentz and CPT symmetries in commutative and noncommutative spacetime
• Lorentz symmetry breaking in the noncommutative Wess-Zumino model: One loop corrections
• Vortices in U(1) Noncommutative Gauge Fields
• Lorentz Violation and Gravity

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