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Vacuum Structure of 2+1-Dimensional Gauge Theories

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Asorey M., Falceto F., Lopez J. L., Luzon G.

Banach Center Publications

1997

tom 39

nr 1

183-199

We analyse some non-perturbative properties of the Yang-Mills vacuum in two-dimensional spaces in the presence of Chern-Simons interactions. We show that the vacuum functional vanishes for some gauge field configurations. We have identified some of those nodal configurations which are characterized by the property of carrying 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. In topological Chern-Simons theories nodal configurations belong to Atiyah-Bott strata with non-null codimension in the space of gauge field configurations. In the presence of external static quarks some nodes of the vacuum functional with non-trivial magnetic charge are removed and they are responsible for the increase of vacuum energy.

Ograniczanie wyników

1 Banach Center Publications

1 Asorey M.

1 Falceto F.

1 Lopez J. L.

1 Luzon G.

1 1997

Wyniki wyszukiwania

Vacuum Structure of 2+1-Dimensional Gauge Theories