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

@article{Blas2006SolitonsKA, title={Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory}, author={H. Blas and Hector L. Carri{\'o}n}, journal={Journal of High Energy Physics}, year={2006}, volume={2007}, pages={027-027} }

The solitons and kinks of the generalized sl(3,) sine-Gordon (GSG) model are explicitly obtained through the hybrid of the Hirota and dressing methods in which the 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,) affine Toda model coupled…

## 18 Citations

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We study the soliton type solutions arising in two-dimensional quantum chromodynamics (QCD$_{2}$). The so-called generalized sine-Gordon model (GSG) arises as the low-energy effective action of…

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We consider a fermion chirally coupled to a prescribed pseudoscalar field in the form of the soliton of the sine-Gordon model and calculate and investigate the Casimir energy and all of the relevant…

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The solitons and kinks of the SU(3) generalized sine-Gordon model (GSG) are shown to describe the baryonic spectrum of two-dimensional quantum chromodynamics (QCD2). The GSG model arises in the…

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A two-dimensional field theory of a fermion chirally coupled to Toda field plus a scalar self-coupling potential is considered. Using techniques of integrable systems we obtain analytical zero modes,…

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Some properties of the non-commutative (NC) versions of the generalized sine-Gordon model (NCGSG) and its dual massive Thirring theory are studied. Our method relies on the NC extension of integrable…

### Degeneracy and Kink Scattering in a Two Coupled Scalar Field Model in (1,1) Dimensions

- PhysicsSSRN Electronic Journal
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In this work, we consider the model of two coupled scalar fields φ, χ in (1, 1) dimensions introduced by D. Bazeia, M. J. dos Santos, and R. F. Ribeiro, Phys. Lett. A 208, 84 (1995). The model has a…

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One of the difficulties in analyzing eigenvalue problems that arise in connection with integrable systems is that they are frequently non-self-adjoint, making it difficult to determine where the…

### Eigenvalue estimates for the scattering problem associated to the sine-Gordon equation

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One of the difficulties associated with the scattering problems arising in connection with integrable systems is that they are frequently non-self-adjoint, making it difficult to determine where the…

### Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model

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We study kink-antikink collisions in a particular case of the double sine-Gordon model depending on only one parameter r. The scattering process of large kink-antikink shows the changing of the…

### Scattering of fermionic isodoublets on the sine-Gordon kink

- PhysicsThe European Physical Journal C
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The scattering of Dirac fermions on the sine-Gordon kink is studied both analytically and numerically. To achieve invariance with respect to a discrete symmetry, the sine-Gordon model is treated as a…

## References

SHOWING 1-10 OF 69 REFERENCES

### Confinement‚ solitons and the equivalence between the sine-Gordon and massive Thirring models

- Physics, Mathematics
- 2000

### Bosonization and generalized Mandelstam soliton operators

- Physics
- 2004

Abstract.The generalized massive Thirring model (GMT) with three fermion species is bosonized in the context of the functional integral and operator formulations and shown to be equivalent to a…

### Bosonization, soliton-particle duality and Mandelstam-Halpern operators

- Physics
- 2004

The generalized massive Thirring model (GMT) with $N_{f}$[=number of positive roots of $su(n)$] fermion species is bosonized in the context of the functional integral and operator formulations and…

### Generalized sine-Gordon/massive Thirring models and soliton/particle correspondences

- Physics
- 2002

We consider a real Lagrangian off-critical submodel describing the soliton sector of the so-called conformal affine sl(3)(1) Toda model coupled to matter fields. The theory is treated as a…

### Generalized sine-Gordon and massive Thirring models

- Physics
- 2004

We consider the Lagrangian description of the soliton sector of the so-called affine $\hat{sl}(3)$ Toda model coupled to matter (Dirac) fields (ATM). The theory is treated as a constrained system in…

### Non-commutative solitons and strong-weak duality

- Physics
- 2005

Some properties of the non-commutative versions of the sine-Gordon model (NCSG) and the corresponding massive Thirring theories (NCMT) are studied. Our method relies on the NC extension of integrable…

### Higher grading conformal affine Toda theory and (generalized) sine-Gordon/massive Thirring duality

- Mathematics
- 2003

Some properties of the higher grading integrable generalizations of the conformal affine Toda systems are studied. The fields associated to the non-zero grade generators are Dirac spinors. The…