Confinement and soliton solutions in the SL(3) Toda model coupled to matter fields

Details Confinement and soliton solutions in the SL(3) Toda model coupled to matter fields Confinement and soliton solutions in the SL(3) Toda model coupled to matter fields

2001-05-09

arxiv.org/abs/hep-th/0105078v1

Nucl.Phys. B626 (2002) 463-499

Physics

High Energy Physics

High Energy Physics - Theory

plain LaTeX, 37 pages

Scientific paper

10.1016/S0550-3213(02)00015-9

We consider an integrable conformally invariant two dimensional model associated to the affine Kac-Moody algebra SL(3). It possesses four scalar fields and six Dirac spinors. The theory does not possesses a local Lagrangian since the spinor equations of motion present interaction terms which are bilinear in the spinors. There exists a submodel presenting an equivalence between a U(1) vector current and a topological current, which leads to a confinement of the spinors inside the solitons. We calculate the one-soliton and two-soliton solutions using a procedure which is a hybrid of the dressing and Hirota methods. The soliton masses and time delays due to the soliton interactions are also calculated. We give a computer program to calculate the soliton solutions.

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