Affine Toda model coupled to matter and the string tension in QCD${}_2$

Abstract

The $sl(2)$ affine Toda model coupled to matter (ATM) is shown to describe various features, such as the spectrum and string tension, of the low-energy effective Lagrangian of QCD${}_2$ (one flavor and $N$ colors). The corresponding string tension is computed when the dynamical quarks are in the {\sl fundamental} representation of SU(N) and in the {\sl adjoint} representation of SU(2).

LaTex, 10 pages. Revised version to appear in Phys. Rev. D