https://doi.org/10.1140/epjc/s2004-02033-x
theoretical physics
Dimensional reduction of the Abelian Higgs Carroll-Field-Jackiw model
1
Centro Brasileiro de Pesquisas Físicas (CBPF), Coordenação de Teoria de Campos e Partículas (CCP), Rua Dr. Xavier Sigaud, 150, RJ 22290-180, Rio de Janeiro, Brazil
2
Grupo de Física Teórica José Leite Lopes, Petrópolis, RJ Brazil
3
Departamento de Física, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, MA, 65085-580, São Luiz, Brazil
4
Departamento de Física e Química, Universidade Federal do Espírito Santo (UFES), Av. Fernando Ferrarim, ES, 29060-900, S/N Goiabeiras, Vitória, Brazil
* e-mail: belich@cbpf.br
Taking as a starting point a Lorentz non-invariant abelian Higgs model defined in 1 + 3 dimensions, we carry out its dimensional reduction to D = 1 + 2, obtaining a new planar model composed by a Maxwell-Chern-Simons-Proca gauge sector, a massive scalar sector, and a mixing term (involving the fixed background 
) that imposes the Lorentz violation to the reduced model. The propagators of the scalar and massive gauge field are evaluated and the corresponding dispersion relations determined. Based on the poles of the propagators, a causality and unitarity analysis is carried out at tree level. We then show that the model is totally causal, stable and unitary.
© Springer-Verlag, 2005
