Noncommutative fields in three dimensions and mass generationJ. R. Nascimento, A. Yu. Petrov and R. F. Ribeiro
Departamento de Fisica, Universidade Federal da Paraiba - Caixa Postal 5008, 58051-970, João Pessoa, Paraiba, Brazil
received 6 November 2006; accepted in final form 4 January 2007; published March 2007
published online 19 February 2007
We apply the noncommutative fields method for gauge theory in three dimensions where the Chern-Simons term is generated in the three-dimensional electrodynamics. Under the same procedure, the Chern-Simons term turns out to be cancelled in the Maxwell-Chern-Simons theory for the appropriate value of the noncommutativity parameter. Unlike the four-dimensional space, in this case the Lorentz symmetry breaking is not generated.
11.10.Nx - Noncommutative field theory.
© Europhysics Letters Association 2007