English

Nodes, Monopoles and Confinement in 2+1-Dimensional Gauge Theories

High Energy Physics - Theory 2009-10-28 v1

Abstract

In the presence of Chern-Simons interactions the wave functionals of physical states in 2+1-dimensional gauge theories vanish at anumber of nodal points. We show that those nodes are located at some classical configurations which carry a non-trivial magnetic charge. In abelian gauge theories this fact explains why magnetic monopoles are suppressed by Chern-Simons interactions. In non-abelian theories it suggests a relevant role for nodal gauge field configurations in the confinement mechanism of Yang-Mills theories. We show that the vacuum nodes correspond to the chiral gauge orbits of reducible gauge fields with non-trivial magnetic monopole components.

Keywords

Cite

@article{arxiv.hep-th/9502024,
  title  = {Nodes, Monopoles and Confinement in 2+1-Dimensional Gauge Theories},
  author = {M. Asorey and F. Falceto and J. L. Lopez and G. Luzon},
  journal= {arXiv preprint arXiv:hep-th/9502024},
  year   = {2009}
}

Comments

11 pages, revtex, no figures.