2003/02/28 by D. Dalmazi, A. de Souza Dutra, Marcelo Hott · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Bosonization #Coupling (piping) #Current (fluid) #Fermion #Field (mathematics) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Tensor (intrinsic definition) #Thirring model #hep-th
paper · pdf · doi:10.1103/physrevd.67.125012
published as Phys.Rev. D67 (2003) 125012 · 13 pages. Improved version
arxiv created 2003/04/29 · openalex publication_date 2003/06/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Here we address the problem of bosonizing massive fermions without making expansions in the fermion masses in both massive QED2 and QED3 with N fermion flavors including also a Thirring coupling. We start from two-point correlators involving the U(1) fermionic current and the gauge field. From the tensor structure of those correlators we prove that the U(1) current must be identically conserved (topological) in the corresponding bosonized theory in both D=2 and D=3 dimensions. We find an effective generating functional in terms of bosonic fields which reproduces these two-point correlators and from that we obtain a map of the Lagrangian density \ensuremathψr(i\ensuremath∂/\ensuremath-m)\ensuremathψr into a bosonic one in both dimensions. This map is nonlocal but it is independent of the electromagnetic and Thirring couplings, at least in the quadratic approximation for the fermionic determinant.