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.
@article{bwmeta1.element.bwnjournal-article-bcpv39z1p183bwm,
author = {Asorey, Manuel and Falceto, Fernando and Lopez, Jose and Luzon, Gloria},
title = {Vacuum Structure of 2+1-Dimensional Gauge Theories},
journal = {Banach Center Publications},
volume = {38},
year = {1997},
pages = {183-199},
zbl = {0880.58032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p183bwm}
}
Asorey, Manuel; Falceto, Fernando; Lopez, Jose; Luzon, Gloria. Vacuum Structure of 2+1-Dimensional Gauge Theories. Banach Center Publications, Tome 38 (1997) pp. 183-199. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p183bwm/
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