2000/05/15 by Harold Blas, Blas, Harold · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Pulsars and Gravitational Waves Research #hep-ph #hep-th #nlin.SI
paper · pdf · doi:10.48550/arxiv.hep-th/0005130
31 pages, LaTex
arxiv created 2000/05/15 · openalex publication_date 2000/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The conformal affine Toda model coupled to the matter field (CATM) is obtained through a classical reduction of the sl(2)(1) affine two-loop WZNW model. After spontaneously broken the conformal symmetry by means of BRST analysis, we end up with an effective theory, the so called affine Toda model coupled to the matter (ATM). Further, using a bosonization technique we recover from this theory the sine-Gordon model plus a free massless scalar field. The ATM model is considered as a QCD-motivated integrable field theory, since it describes various features in the baryonic sector of the low-energy effective Lagrangian of QCD in two dimensions with one flavor and two colors. Imposing the equivalence of the Noether and topological currrents as a constraint, it is shown that the intercharge ``quark''- ``anti-quark'' static potential reveals a linear confinement behavior for large intercharge separation.