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

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.

11 pages, revtex, no figures.

References in corpus (3)

• Topological Excitations in Compact Maxwell-Chern-Simons Theory
• Chern-Simons States at Genus One
• Chern-Simons States and Topologically Massive Gauge Theories

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