1995/04/25 by R. Banerjee · 55 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Equivalence (formal languages) #Fermion #Gauge theory #Hamiltonian lattice gauge theory #Introduction to gauge theory #Partition function (quantum field theory) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum field theory #Quantum gauge theory #Thirring model #hep-th
paper · pdf · doi:10.1016/0370-2693(95)00948-k
published in Physics Letters B 358(3-4), 297-302 (Elsevier BV) · plain tex, 10 pages
arxiv created 1995/04/25 · openalex publication_date 1995/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show in three dimensions, using functional integral techniques, the equivalence between the partition functions of the massive Thirring model and a gauge theory with two gauge fields, to all orders in the inverse fermion mass. Detailed bosonisation identities, also valid to all orders in the inverse mass, are derived. Specialisation to the lowest (and next to lowest) orders reveals that the gauge theory simplifies to the Maxwell-Chern-Simons theory. Some interesting consequences are discussed in this case.