Induced commutative Chern Simons term from noncommutativity in planar systems

DOI10.1088/0305-4470/35/47/308zbMATH Open1045.81548arXivhep-th/0110090OpenAlexW3100913146MaRDI QIDQ4468211

Author name not available (Why is that?)

Publication date: 10 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/hep-th/0110090

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Electromagnetic interaction; quantum electrodynamics (81V10) Noncommutative geometry methods in quantum field theory (81T75) Many-body theory; quantum Hall effect (81V70)