Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background

Abstract

A planar Maxwell-Chern-Simons-Proca model endowed with a Lorentz-violating background is taken as framework to investigate the electron-electron interaction. The Dirac sector is introduced exhibiting a Yukawa and a minimal coupling with the scalar and the gauge fields, respectively. The the electron-electron interaction is then exactly evaluated as the Fourier transform of the Moller scattering amplitude (carried out in the non-relativistic limit) for the case of a purely time-like background. The interaction potential exhibits a totally screened behavior far from the origin as consequence of massive character of the physical mediators. The total interaction (scalar plus gauge potential) can always be attractive, revealing that this model may lead to the formation of electron-electron bound states.

14 pages, 4 figures, style revtex. To appear in International Journal Modern Physics A

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• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
• Influence of Lorentz-violating terms on a two-level system