Effective abelian gauge theory for lattice gluodynamics and chromoelectric string

M. A. Zubkov

Effective abelian gauge theory for lattice gluodynamics and chromoelectric string

High Energy Physics - Theory 2007-05-23 v2

Authors: M. A. Zubkov

Abstract

The lattice SU(2) gluodynamics in the maximal abelian projection is reduced to the abelian theory, in which the natural small parameter exists. We show that in the zeroth order of the expansion in this parameter the theory is equivalent to the compact abelian gauge theory coupled to ghosts of charge 2. The theory is a renormalizable and asymptotically free. This theory is represented in the form of the theory of open string with the boundary consisting of the worldline of the quark. The ghosts live on the worldsheet of the string. The naive continuum limit of such string representation gives a simple expression for the chromoelectric string action.

Keywords

lattice su(2) gluodynamics maximal abelian projection effective abelian gauge theory chromoelectric string compact abelian gauge theory ghosts

Cite

@article{arxiv.hep-th/9710152,
  title  = {Effective abelian gauge theory for lattice gluodynamics and chromoelectric string},
  author = {M. A. Zubkov},
  journal= {arXiv preprint arXiv:hep-th/9710152},
  year   = {2007}
}