Chern-Simons vortices

@article{Duval1997ChernSimonsV,
  title={Chern-Simons vortices},
  author={Christian Duval and P. A. Horvathy},
  journal={arXiv: High Energy Physics - Theory},
  year={1997}
}
In (2+1) dimensions, the Maxwell term $-(1/4) F_{\alpha\beta}F^{\alpha\beta}$ can be replaced by the Chern-Simons three-form $(\kappa/4)\epsilon^{\alpha\beta\gamma}A_\alpha F_{\beta\gamma}$, yielding a novel type of `electromagnetism'. This has been proposed for studying the Quantum Hall Effect as well as High-Temperature Superconductivity. The gauge field can be coupled to a scalar field either relativistically or non-relativistically. In both cases, one admits finite-energy, vortex solutions. 

Figures from this paper

Superconformal Chern-Simons theories

A Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL). The BL theory has SO(4) gauge symmetry and

Existence of mixed type solutions in the SU(3) Chern–Simons theory in $$\mathbb {R}^2$$R2

In this article, we are concerned with the SU(3) Chern–Simons theory in $$\mathbb {R}^2$$R2. It is believed that the self-dual equations of the theory possess three types of solutions, classified

Exotic Galilean symmetry and non-commutative mechanics in mathematical and in condensed matter physics

The ``exotic'' particle model with non-commuting position coordinates, associated with the two-parameter central extension of the planar Galilei group, can be used to derive the ground states of the

Exotic Galilean Symmetry, Non-commutativity & the Hall Effect

The ``exotic'' particle model associated with the two-parameter central extension of the planar Galilei group can be used to derive the ground states of the Fractional Quantum Hall Effect. Similar

Etude de solitons en th´eorie classique des champs de basse dimension

Cette these porte sur l'analyse de certains modeles de chern-simons en dimension 2 + 1. Partie 1 : par le test de painleve, nous determinons des conditions suffisantes d'integrabilite pour le modele

CERTAIN WEIGHTED MEAN INEQUALITY

In this paper, we report a new sharp inequality of interpolation type in R n . This inequality is for controlling weighted average of a function via L n norm of the gradient of a function together

References

SHOWING 1-10 OF 14 REFERENCES

Self-dual Chern-Simons solitons.

These lectures are devoted to the two-year old topic of Chern-Simons solitons, combining the two subjects.

The Quantum Hall Effect

The integral quantum Hall effect was discovered in 1980 by Klaus von Klitzing, Michael Pepper, and Gerhardt Dordda. Truly remarkably, at low temperatures (~ 4 K), the Hall resistance of a two

Complex manifolds without potential theory

The Quantum Hall Effect

Phys. Rev. D42

  • Phys. Rev. D42
  • 1990

) ; J . Fröhlich and U . Studer

  • Phys . Rev . Lett .
  • 1989

Phys. Rev. Lett. Phys. Rev. Lett

  • Phys. Rev. Lett. Phys. Rev. Lett
  • 1986

Pitaevski, Statistical Physics, Landau-Lifshitz

  • Course of Theoretical Physics,
  • 1995

Phys. Rev. D52 Ann. Phys. (N. Y

  • Phys. Rev. D52 Ann. Phys. (N. Y
  • 1995

Statistical Physics, Landau-Lifshitz Course of Theoretical Physics

  • Statistical Physics, Landau-Lifshitz Course of Theoretical Physics
  • 1995