Eur. Phys. J. C 70, 1145-1151 (2010)
https://doi.org/10.1140/epjc/s10052-010-1490-4

Domain walls in a generalized Chern–Simons model

¹ Centro de Física e Departamento de Física, Faculdade de Ciências da Universidade do Porto, 4169-007, Porto, Portugal
² Departamento de Física, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain
³ Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, Paraíba, Brazil

cssilva@fc.up.pt

Received: 30 June 2010
Revised: 10 October 2010
Published online: 25 November 2010

Abstract

In this paper we study the structure of one dimensional topological solitons in a generalized Abelian-Higgs Chern–Simons model where the kinetic term is non-canonical. We present an example of an analytical self-dual electrically charged soliton solution which has a finite momentum per unit length along its direction. We compared the physical properties of our soliton with those for wall of Jackiw–Lee–Weinberg wall presented in Jackiw et al. (Phys. Rev. D 42:3488, 1990) to conclude that the non-canonical kinetic term can make the wall “thicker” redistributing uniformly the momentum flow along it.