Electron-electron interaction in a MCS model with a purely spacelike Lorentz-violating background

Abstract

One considers a planar Maxwell-Chern-Simons electrodynamics in the presence of a purely spacelike Lorentz-violating background. Once the Dirac sector is properly introduced and coupled to the scalar and the gauge fields, the electron-electron interaction is evaluated as the Fourier transform of the Moller scattering amplitude (derived in the non-relativistic limit). The associated Fourier integrations can not be exactly carried out, but an algebraic solution for the interaction potential is obtained in leading order in (v/s)^2. It is then observed that the scalar potential presents a logarithmic attractive (repulsive) behavior near (far from) the origin. Concerning the gauge potential, it is composed of the pure MCS interaction corrected by background contributions, also responsible for its anisotropic character. It is also verified that such corrections may turn the gauge potential attractive for some parameter values. Such attractiveness remains even in the presence of the centrifugal barrier and gauge invariant A.A term, which constitutes a condition compatible with the formation of Cooper pairs.

12 pages, 3 figures, Revtex4 style, figures revised; to appear in Phys. Rev. D (2005)

References in corpus (34)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• High-Energy Tests of Lorentz Invariance
• Signals for Lorentz Violation in Electrodynamics
• Stability, Causality, and Lorentz and CPT Violation
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
• Spacetime-varying couplings and Lorentz violation
• Vacuum Cherenkov radiation
• Causality and CPT violation from an Abelian Chern-Simons-like term
• The Cherenkov effect in Lorentz-violating vacua
• Threshold analyses and Lorentz violation
• Lorentz and CPT violations from Chern-Simons modifications of QED
• Cosmological acceleration, varying couplings, and Lorentz breaking
• Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term
• Chiral Anomaly and CPT invariance in an implicit momentum space regularization framework
• Dimensional Reduction of a Lorentz and CPT-violating Maxwell-Chern-Simons Model
• Supersymmetric Extension of the Lorentz and CPT-Violating Maxwell-Chern-Simons Model
• Classical Solutions in a Lorentz-violating Maxwell-Chern-Simons Electrodynamics
• Causality and radiatively induced CPT violation
• Dimensional Reduction of the Abelian-Higgs Carroll-Field-Jackiw Model
• The Lorentz and CPT violating effects on H^0\to f^+ f^- (ZZ, W^+ W^-) decays
• Low-energy Moller scattering in a Maxwell-Chern-Simons Lorentz-violating planar model
• Dual embedding of the Lorentz-violating electrodinamics and Batalin-Vilkovisky quantization
• Superconductivity in $2+1$ dimensions via Kosterlitz-Thouless Mechanism: Large-N and Finite-Temperature Analyses
• The Spectrum of Topologically Massive Quantum Electrodynamics
• Charged Tensor Matter Fields and Lorentz Symmetry Violation via Spontaneous Symmetry Breaking
• Attractive Forces Between Electrons in QED${}_3$
• Electron-electron attractive interaction in Maxwell-Chern-Simons QED3 at zero temperature
• Electron-Electron Bound States in Maxwell-Chern-Simons-Proca QED3
• Bose-Einstein condensation in the canonical ensemble
• Comment on "Attractive Forces between Electrons in 2 + 1 Dimensional QED"
• Electron-electron Bound States in Parity-Preserving QED3
• The radiative h^0 (A^0)\to γγdecays in the two Higgs doublet model

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• Influence of Lorentz- and CPT-violating terms on the Dirac equation
• Lorentz-violating effects on topological defects generated by two real scalar fields
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
• Influence of Lorentz-violating terms on a two-level system
• Lorentz-symmetry violating physics in a supersymmetric scenario in $(2+1)$-D
• Tree-level equivalence between a Lorentz-violating extension of QED and its dual model in electron-electron scattering