2003/03/31 by Subir Ghosh
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bosonization #Cosmology and Gravitation Theories #Duality (order theory) #Fermion #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Plane (geometry) #Pure mathematics #Quantum electrodynamics #Quantum mechanics #Spacetime #Thirring model #hep-th
paper · pdf · doi:10.1016/s0370-2693(03)00590-2
published as Phys.Lett. B563 (2003) 112-116 · Introductory section enlarged, minor changes inside text, reference section enlarged, version to appear in Phys. Lett. B
arxiv created 2003/04/16 · openalex publication_date 2003/05/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this Letter, we study bosonization of the noncommutative massive Thirring model in 2+1 dimensions. We show that, contrary to the duality between massive Thirring model and Maxwell–Chern–Simons model in ordinary spacetime, in the low energy (or large fermion mass) limit, their noncommutative versions are not equivalent, in the same approximation.