Noncommutative fields in three dimensions and mass generation

Abstract

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 is shown to be cancelled in the Maxwell-Chern-Simons theory for the appropriate value of the noncommutativity parameter. Hence the mutual interchange between Maxwell-Chern-Simons theory and pure Maxwell theory turns out to be generated within this method.

Comments 5 pages, epl, version accepted for publication in Europhysics Letters

References in corpus (8)

• Noncommutative Field Theory and Lorentz Violation
• Gravity's Rainbow
• Noncommutativity in Field Space and Lorentz Invariance Violation
• Supersymmetric Noncommutative QED and Lorentz Violation
• Topological Mass Generation in Four Dimensions
• U(1) Noncommutative Gauge Fields and Magnetogenesis
• Vortices, Infrared effects and Lorentz Invariance Violation
• Noncommutative massive Thirring model in three-dimensional spacetime

Cited by in corpus (5)

• Lorentz violation in the linearized gravity
• Radiative processes as a condensation phenomenon and the physical meaning of deformed canonical structures
• A fundamental length as a candidate for dark energy: a DSR inspired FRW spacetime
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
• The cosmological implications of a fundamental length: a DSR inspired de-Sitter spacetime