Low-energy Moller scattering in a Maxwell-Chern-Simons Lorentz-violating planar model

Details Low-energy Moller scattering in a Maxwell-Chern-Simons Lorentz-violating planar model Low-energy Moller scattering in a Maxwell-Chern-Simons Lorentz-violating planar model

2004-03-29

arxiv.org/abs/hep-th/0403276v1

Phys.Rev. D70 (2004) 045013

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 1 figure, latex style

Scientific paper

10.1103/PhysRevD.70.045013

One starts from a planar Maxwell-Chern-Simons model endowed with a Lorentz-violating term. The Dirac sector is introduced exhibiting a Yukawa and a minimal coupling with the scalar scalar and the gauge fields, respectively. One then evaluates the electron-electron interaction as the Fourier transform of the Moller scattering amplitude carried out in the non-relativistic limit. In the case of a purely time-like background, the interaction potential can be exactly solved, exhibiting a typical massless behavior far from the origin. The scalar interaction potential is always attractive whereas the gauge intermediation may also present attraction even when considered in the presence of the centrifugal barrier and the A^{2} term. Such a result is a strong indication that electron-electron bound states may appear in this theoretical framework.

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