Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-10
JHEP 0701:027,2007
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 25 pages and 4 figures. Improved version. Accepted for publication in JHEP
Scientific paper
10.1088/1126-6708/2007/01/027
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.
Blas Harold
Carrión Hector L.
No associations
LandOfFree
Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-437975