Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory

Abstract

The solitons and kinks of the generalized $sl(3, \IC)$ sine-Gordon (GSG) model are explicitly obtained through the hybrid of the Hirota and dressing methods in which the {\sl tau} functions play an important role. The various properties are investigated, such as the potential vacuum structure, the soliton and kink solutions, and the soliton masses formulae. As a reduced submodel we obtain the double sine-Gordon model. Moreover, we provide the algebraic construction of the $sl(3, \IC)$ affine Toda model coupled to matter (Dirac spinor) (ATM) and through a gauge fixing procedure we obtain the classical version of the generalized $sl(3, \IC)$ sine-Gordon model (cGSG) which completely decouples from the Dirac spinors. In the spinor sector we are left with Dirac fields coupled to cGSG fields. Based on the equivalence between the U(1) vector and topological currents it is shown the confinement of the spinors inside the solitons and kinks of the cGSG model providing an extended hadron model for "quark" confinement.

Latex, 25 pages and 4 figures. Improved version. Accepted for publication in JHEP

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Cited by in corpus (9)

• Classical behavior of deformed sine-Gordon models
• Multi-sine-Gordon Models
• Phase Structure and Compactness
• Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model
• Exotic baryons in two-dimensional QCD and the generalized sine-Gordon solitons
• Scattering of fermionic isodoublets on the sine-Gordon kink
• Renormalization of QCD_2
• An Investigation of the Casimir Energy for a Fermion Coupled to the Sine-Gordon Soliton with Parity Decomposition
• Majorana zero mode-soliton duality and in-gap and BIC bound states in modified Toda model coupled to fermion