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

@article{Blas1999ConfinementSA, title={Confinement‚ solitons and the equivalence between the sine-Gordon and massive Thirring models}, author={H. Blas and L. A. Ferreira}, journal={Nuclear Physics}, year={1999}, volume={571}, pages={607-631} }

## 12 Citations

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

- Physics
- 2006

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…

### 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…

### 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…

### Bosonized noncommutative bi-fundamental fermion and S-duality

- Physics
- 2005

We perform the path-integral bosonization of the recently proposed noncommutative massive Thirring model (NCMT1) [JHEP 0503 (2005) 037]. This model presents two types of current-current interaction…

### Majorana zero mode-soliton duality and in-gap and BIC bound states in modified Toda model coupled to fermion

- PhysicsJournal of High Energy Physics
- 2022

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,…

### 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…

### Exotic baryons in two-dimensional QCD and the generalized sine-Gordon solitons

- Physics
- 2007

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…

## References

SHOWING 1-10 OF 32 REFERENCES

### Quark confinement and the evasion of Goldstone's theorem in 1+1 dimensions

- Physics
- 1975

Gauge theories of quarks which possess approximate chiral SU(3) x SU(3) symmetry also have approximate U(3) x U(3) symmetry. If the axial symmetries are realized in the Goldstone mode, then one would…

### Tau-functions and dressing transformations for zero-curvature affine integrable equations

- Mathematics
- 1996

The solutions of a large class of hierarchies of zero-curvature equations that includes Toda- and KdV-type hierarchies are investigated. All these hierarchies are constructed from affine (twisted or…

### Soliton Solutions of the Massive Thirring Model and the Inverse Scattering Transform

- Physics, Mathematics
- 1976

Classical solutions of the massive Thirring model are found that describe the fermion constituent solitons of multisoliton solutions of the sine-Gordon equation. The construction of these fermion…