# Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons

@article{Blas2010NoncommutativeS, title={Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons}, author={H. Blas and Hector L. Carri{\'o}n}, journal={arXiv: High Energy Physics - Theory}, year={2010} }

Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method relies on the master Lagrangian approach to deal with dual theories. The master Lagrangians turn out to be the NC versions of the so-called affine Toda model coupled to matter fields (NCATM$_{1,2}$), in which the Toda field $g$ belongs to certain subgroups of $ GL(3)$, and the matter fields lie in the…

## One Citation

### On the mass spectrum of noncommutative Schwinger model in Euclidean ℝ2 space

- Physics
- 2010

The mass spectrum of noncommutative QED in two-dimensional Euclidean ℝ2 space is derived first in a perturbative approach at one-loop level and then in a nonperturbative approach using the equivalent…

## References

SHOWING 1-10 OF 45 REFERENCES

### 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…

### 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…

### The ŝl(2) affine Toda model coupled to the matter: solitons and confinement

- Mathematics
- 2001

Imposing the Noether and topological currents equivalence as a constraint, one can show that the ATM model leads to a bag model like mechanism for the confinement of the U(1) “color” charge inside the sine-Gordon solitons (baryons).

### Reduction of affine two-loop WZNW model, the Toda system coupled to the matter and topological confinement

- Physics
- 2000

The conformal affine Toda model coupled to the matter field (CATM) is obtained through a classical reduction of the $sl(2)^{(1)}$ affine two-loop WZNW model. After spontaneously broken the conformal…

### Some comments on the integrability of the noncommutative generalized massive Thirring model

- Mathematics
- 2009

Some properties of a non-commutative version of the generalized massive Thirring theory (NCGMT) are studied. We develop explicit calculations for the affine Lie algebra $gl(3)$ case. The NCGMT model…

### Generalized sine-Gordon model and baryons in two-dimensional QCD

- Physics
- 2007

We consider the sl(3,C) 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,C) sine-Gordon model…

### Solitons as baryons and qualitons as constituent quarks in two-dimensional QCD

- Physics
- 2008

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…

### Perspective on classical strings from complex sine-Gordon solitons

- Physics
- 2007

We study a family of classical string solutions with large spins on R{sub t}xS{sup 3} subspace of AdS{sub 5}xS{sup 5} background, which are related to Complex sine-Gordon solitons via Pohlmeyer's…

### Quantum fluctuations around low-dimensional topological defects

- Physics
- 2009

In these Lectures a method is described to analyze the effect of quantum fluctuations on topological defect backgrounds up to the one-loop level. The method is based on the spectral heat kernel/zeta…