Physics NotePublished
Low-energy Möller scattering in a Maxwell-Chern-Simons Lorentz-violating model
M. M. F. Junior
2004
Publication details
- Authors
- M. M. F. Junior
- Type
- Physics Note
- Status
- Published
- Publication date
- 2004
- Description
- 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 and the gauge fields, respectively. One then evaluates the electron-electron interaction as the Fourier transform of the M\"{o}ller 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.
- Year
- 2004
- Number
- CBPF-NF-017/04
- Linked to a thesis
- No
- Linked to a grant
- No