# 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

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topAsorey, 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 -

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