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Confinement and soliton solutions in the SL(3) Toda model coupled to matter fields | | A. G. Bueno
; L. A. Ferreira
; A. V. Razumov
; | | Date: |
9 May 2001 | | Journal: | Nucl.Phys. B626 (2002) 463-499 | | Subject: | High Energy Physics - Theory; Mathematical Physics; Exactly Solvable and Integrable Systems | hep-th math-ph math.MP nlin.SI | | Abstract: | 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. | | Source: | arXiv, hep-th/0105078 | | Services: | Forum | Review | PDF | Favorites | |
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