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Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background | | Manoel M. Ferreira Jr
; Marcio S. Tavares
; | | Date: |
30 Jan 2006 | | Abstract: | One starts from a planar Maxwell-Chern-Simons-Proca model endowed with a Lorentz-violating term stemming from the dimensional reduction of the Abelian-Higgs Maxwell-Carroll-Field model. The Dirac sector is introduced exhibiting a Yukawa and a minimal coupling with the 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 for the case of a purely time-like background. The interaction potential can be exactly solved, exhibiting 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 provide the formation of electron-electron bound states. | | Source: | arXiv, hep-th/0601219 | | Services: | Forum | Review | PDF | Favorites | |
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