Non-Abelian vortex lattices

@article{Tallarita2017NonAbelianVL,
  title={Non-Abelian vortex lattices},
  author={Gianni Tallarita and Adam J. Peterson},
  journal={Physical Review D},
  year={2017},
  volume={97},
  pages={076003}
}
We perform a numerical study of the phase diagram of the model proposed in \cite{Shifman:2012vv}, which is a simple model containing non-Abelian vortices. As per the case of Abrikosov vortices, we map out a region of parameter space in which the system prefers the formation of vortices in ordered lattice structures. These are generalizations of Abrikosov vortex lattices with extra orientational moduli in the vortex cores. At sufficiently large lattice spacing the low energy theory is described… 

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References

SHOWING 1-10 OF 32 REFERENCES

Static interactions of non-Abelian vortices

Interactions between non-BPS non-Abelian vortices are studied in non-Abelian U(1) × SU(N) extensions of the Abelian-Higgs model in four dimensions. The distinctive feature of a non-Abelian vortex is

Non-Abelian Vortex and Confinement

We discuss general properties and possible types of magnetic vortices in non-Abelian gauge theories (we consider here $G= SU(N), SO(N), USp(2N)$) in the Higgs phase. The sources of such vortices

Non-Abelian Vortices in Holographic Superconductors

We find, by an appropriate extension of the standard holographic superconductor setup, static bulk solutions which describe holographic duals to non-Abelian vortices. In the core of these vortices a

Precision Ginzburg-Landau Solution of Ideal Vortex Lattices for Any Induction and Symmetry

A method is presented that solves the Ginzburg-Landau equations for the ideal Abrikosov vortex lattice in type-II superconductors with high precision for arbitrary induction, Ginzburg-Landau

Vortices, instantons and branes

The purpose of this paper is to describe a relationship between the moduli space of vortices and the moduli space of instantons. We study charge vortices in Yang-Mills-Higgs theories and show that

Color magnetism in non-Abelian vortex matter

A bstractWe propose color magnetism as a generalization of the ordinary Heisenberg (anti-)ferro magnets on a triangular lattice. Vortex matter consisting of an Abrikosov lattice of non-Abelian