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

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

1995-02-03

arxiv.org/abs/hep-th/9502024v1

Phys.Lett. B349 (1995) 125-130

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, revtex, no figures.

Scientific paper

10.1016/0370-2693(95)00217-9

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.

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