Quark confinement and gauge invariant monopoles in SU(2) YM

S. Kato; S. Ito; K. -I. Kondo; T. Murakami; A. Shibata; T. Shinohara

Quark confinement and gauge invariant monopoles in SU(2) YM

High Energy Physics - Lattice 2016-09-01 v1

Authors: S. Kato , S. Ito , K. -I. Kondo , T. Murakami , A. Shibata , T. Shinohara

Abstract

We give a short review of recently obtained results on a new lattice formulation of the non-linear change of variables which was once called the Cho--Faddeev--Niemi decomposition in SU(2) Yang-Mills theory. Based on this formulation, we proposed a new gauge-invariant definition of the magnetic monopole current which guarantees the magnetic charge quantization. We also demonstrated the magnetic monopole dominance in the string tension in SU(2) Yang-Mills theory on a lattice. Our formulation enables one to reproduce in the gauge-invariant way remarkable results obtained so far only in the Maximally Abelian gauge.

Keywords

quark confinement magnetic monopole gauge invariance SU(2) Yang-Mills lattice gauge theory string tension

Cite

@article{arxiv.hep-lat/0610032,
  title  = {Quark confinement and gauge invariant monopoles in SU(2) YM},
  author = {S. Kato and S. Ito and K. -I. Kondo and T. Murakami and A. Shibata and T. Shinohara},
  journal= {arXiv preprint arXiv:hep-lat/0610032},
  year   = {2016}
}

Comments

7 pages, talk presented at Lattice 2006 (Confinement and Topology)

Quark confinement and gauge invariant monopoles in SU(2) YM

Abstract

Keywords

Cite

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