Understanding Radiatively Induced Lorentz-CPT Violation in Differential Regularization

Abstract

We have investigated the perturbative ambiguity of the radiatively induced Chern-Simons term in differential regularization. The result obtained in this method contains all those obtained in other regularization schemes and the ambiguity is explicitly characterized by an indefinite ratio of two renormalization scales. It is argued that the ambiguity can only be eliminated by either imposing a physical requirement or resorting to a more fundamental principle. Some calculation techniques in coordinate space are developed in the appendices.

RevTex, 14 pages, one figure drawn by FEYNMAN, several references are modified and a paragraph about a general choice on the mass scales is added in page 5

References in corpus (5)

• High-Energy Tests of Lorentz Invariance
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Lorentz and CPT Violating Chern-Simons Term in the Derivative Expansion of QED
• Chern-Simons Violation of Lorentz and PCT Symmetries in Electrodynamics
• Two-dimensional Chiral Anomaly in Differential Regularization

Cited by in corpus (54)

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• QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector
• Chiral Anomaly and CPT invariance in an implicit momentum space regularization framework
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
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• One-Loop Renormalization of QCD with Lorentz Violation
• Radiative Effects in the Standard Model Extension
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• Radiatively induced Lorentz-violating operator of mass dimension five in QED
• Causality and radiatively induced CPT violation
• Constraint from Lamb Shift and Anomalous Magnetic Moment on Radiatively Induced Lorentz and CPT Violation in Quantum Electrodynamics
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• Radiatively Induced Lorentz and CPT Violation in Schwinger Constant Field Approximation
• Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model
• Lorentz and CPT violation in QED revisited: A missing analysis
• Chern-Simons-like action induced radiatively in General Relativity
• Chern-Simons like term generation in an extended model of QED under external conditions
• Generation of Axion-Like Couplings via Quantum Corrections in a Lorentz Violating Background
• A Lorentz-violating SO(3) model: discussing the unitarity, causality and the 't Hooft-Polyakov monopoles
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• There is No Ambiguity in the Radiatively Induced Gravitational Chern-Simons Term
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• Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model
• Absence of Long-Wavelength Cerenkov Radiation With Isotropic Lorentz and CPT Violation
• Extended QED with CPT violation : clarifying some controversies
• Lorentz and CPT symmetries in commutative and noncommutative spacetime
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• Partitioning Dense Graphs with Hardware Accelerators
• Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation
• On the CPT-even Lorentz-breaking extension of the QED
• One-Loop Effective Action for the Extended Spinor Electrodynamics with Violation of Lorentz and CPT Symmetry
• Lorentz Violation and Faddeev-Popov Ghosts
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• Problems with Lorentz Violation Originating From a Cosmologically Varying Pseudoscalar Field
• Two-dimensional Lorentz-violating Chern-Simons-like action
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature
• Higher-order one-loop contributions in Lorentz-breaking QED
• On the anomalies in Lorentz-breaking theories
• No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences
• One-loop Schwinger effect in the presence of Lorentz-violating background fields
• Renormalization Scheme Dependence of $\beta$-Functions In Lorentz-Violating Quantum Field Theory
• The axial anomaly, dimensional regularization and Lorentz-violating QED
• Remarks on a Lorentz-breaking 4D chiral gauge theory
• Duality and Enhanced Gauge Symmetry in 2+1 Dimensions
• Symanzik-Becchi-Rouet-Stora lessons on renormalizable models with broken symmetry: the case of Lorentz violation