Volume 77, Number 5, March 2007
|Number of page(s)||3|
|Section||The Physics of Elementary Particles and Fields|
|Published online||19 February 2007|
Noncommutative fields in three dimensions and mass generation
Departamento de Fisica, Universidade Federal da Paraiba - Caixa Postal 5008, 58051-970, João Pessoa, Paraiba, Brazil
Accepted: 4 January 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.
PACS: 11.10.Nx – Noncommutative field theory
© Europhysics Letters Association, 2007
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