Vacuum Structure of 2+1-Dimensional Gauge Theories

Manuel Asorey; Fernando Falceto; Jose Lopez; Gloria Luzon

Banach Center Publications (1997)

  • Volume: 39, Issue: 1, page 183-199
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Asorey, Manuel, et al. "Vacuum Structure of 2+1-Dimensional Gauge Theories." Banach Center Publications 39.1 (1997): 183-199. <http://eudml.org/doc/208661>.

@article{Asorey1997,
abstract = {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.},
author = {Asorey, Manuel, Falceto, Fernando, Lopez, Jose, Luzon, Gloria},
journal = {Banach Center Publications},
keywords = {Yang-Mills vacuum; Chern-Simons interactions},
language = {eng},
number = {1},
pages = {183-199},
title = {Vacuum Structure of 2+1-Dimensional Gauge Theories},
url = {http://eudml.org/doc/208661},
volume = {39},
year = {1997},
}

TY - JOUR
AU - Asorey, Manuel
AU - Falceto, Fernando
AU - Lopez, Jose
AU - Luzon, Gloria
TI - Vacuum Structure of 2+1-Dimensional Gauge Theories
JO - Banach Center Publications
PY - 1997
VL - 39
IS - 1
SP - 183
EP - 199
AB - 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.
LA - eng
KW - Yang-Mills vacuum; Chern-Simons interactions
UR - http://eudml.org/doc/208661
ER -

References

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