• Corpus ID: 116904225

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}
}
• Published 7 November 2010
• Mathematics
• arXiv: High Energy Physics - Theory
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…
1 Citations

Figures from this paper

• 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

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
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
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).
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
• 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
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
• 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
• 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
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