Induced commutative Chern-Simons term from noncommutativity in planar systems

Details Induced commutative Chern-Simons term from noncommutativity in planar systems Induced commutative Chern-Simons term from noncommutativity in planar systems

2001-10-09

arxiv.org/abs/hep-th/0110090v1

J.Phys.A35:10077-10084,2002

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex

Scientific paper

10.1088/0305-4470/35/47/308

We test the consistency of the use of a noncommutative theory description for charged particles in a strong magnetic field, by deriving the induced Chern-Simons (CS) term for an external Abelian gauge field in 2+1 dimensions. In this description, the system is modeled by a noncommutative matter field coupled to a U(1) noncommutative gauge field, related to the original, commutative one, by a Seiberg-Witten transformation. We show that an Abelian CS term for the commutative gauge field is indeed induced, and moreover that it matches the result of previous commutative field theory calculations.

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