Induced Chern-Simons-like action in Lorentz-violating massless QED

Abstract

In the present work, we study different aspects of Lorentz and CPT symmetry violation in extended massless QED. By following the observation that the 2+1 dimensional Maxwell-Chern-Simons theory can be originated from the 3+1 dimensional Chern-Simons-like action, we also focus on the fermion sector to relate the 3+1 dimensional extended massless QED to 2+1 dimensional massive QED. We take advantage of this to state that the Chern-Simons-like action in extended massless QED can be induced with its coefficient being well defined and finite just as its 2+1 counterpart. We make use of three different regularization schemes by inducting the Chern-Simons-like in 3+1 dimensions to support this conjecture.

To appear in Phys. Rev. D, 7 pages, 2 eps figures, minor changes

References in corpus (33)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• High-Energy Tests of Lorentz Invariance
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Cosmic Ray and Neutrino Tests of Special Relativity
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• Vacuum Cherenkov radiation
• Searching for CPT Violation with Cosmic Microwave Background Data from WMAP and BOOMERANG
• Is there evidence for cosmic anisotropy in the polarization of distant radio sources?
• When radiative corrections are finite but undetermined
• Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED
• Physical Instances of Noncommuting Coordinates
• Lorentz and CPT violations from Chern-Simons modifications of QED
• Proposed astrophysical test of Lorentz invariance
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Regularisation : many recipes, but a unique principle : Ward identities and Normalisation conditions. The case of CPT violation in QED
• Lorentz and CPT Violating Chern-Simons Term in the Formulation of Functional Integral
• Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
• Radiatively-Induced Lorentz and CPT Violating Chern-Simons Term in QED
• Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
• Lorentz and CPT Violating Chern-Simons Term in the Derivative Expansion of QED
• Dimensional Reduction of a Lorentz and CPT-violating Maxwell-Chern-Simons Model
• Supersymmetric Extension of the Lorentz and CPT-Violating Maxwell-Chern-Simons Model
• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• Spacetime symmetries of the Lorentz-violating Maxwell-Chern-Simons model
• Radiatively Induced Lorentz and CPT Violation in Schwinger Constant Field Approximation
• Chern-Simons like term generation in an extended model of QED under external conditions
• On Dirac-like Monopoles in a Lorentz- and CPT-violating Electrodynamics
• The structure of radiatively induced Lorentz and CPT violation in QED at finite temperature
• Bounds on Cubic Lorentz-Violating Terms in the Fermionic Dispersion Relation
• Extended QED with CPT violation : clarifying some controversies
• Maxwell-Chern-Simons theory for curved spacetime backgrounds
• Lorentz and CPT violations in QED : a short comment on recent controversies

Cited by in corpus (35)

• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Black holes with a cosmological constant in bumblebee gravity
• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector
• Bare and Induced Lorentz and CPT Invariance Violations in QED
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• Radiative generation of the CPT-even gauge term of the SME from a dimension-five nonminimal coupling term
• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model
• Constraining CPT-even and Lorentz-violating nonminimal couplings with the electron magnetic and electric dipole moments
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• $CPT$ Violating Electrodynamics and Chern-Simons Modified Gravity
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Effective electromagnetic actions for Lorentz violating theories exhibiting the axial anomaly
• Partitioning Dense Graphs with Hardware Accelerators
• Three-dimensional Lorentz-violating action
• On the effective action of the vacuum photon splitting in Lorentz-violating QED
• Lorentz-violating Chern-Simons action under high temperature in massless QED
• Aspects of Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions
• Lorentz-violating effects in three-dimensional $QED$
• The 4D-2D projection of Lorentz-violating Myers-Pospelov QED
• Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
• Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• On one-loop corrections in the non-minimal dimension-five extension of QED
• Induction of the Lorentz-violating effective actions in quantum electrodynamics
• The full Lorentz-violating vacuum polarization tensor: low and high energy limits
• Effective electromagnetic Lagrangians in the derivative expansion method
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector