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dc.contributor.author
Lugo, Adrián René
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dc.date.available
2020-03-11T17:14:01Z
dc.date.issued
2002-01
dc.identifier.citation
Lugo, Adrián René; A note on noncommutative Chern–Simons model on manifolds with boundary; World Scientific; Modern Physics Letters A: Particles and Fields; Gravitation; Cosmology and Nuclear Physics; 17; 3; 1-2002; 141-155
dc.identifier.issn
0217-7323
dc.identifier.uri
http://hdl.handle.net/11336/99141
dc.description.abstract
We study field theories defined in regions of the spatial noncommutative (NC) plane with a boundary present delimiting them, concentrating in particular on the U(1) NC Chern-Simons theory on the upper half-plane. We find that classical consistency and gauge invariance lead necessary to the introduction of K0-space of square integrable functions null together with all their derivatives at the origin. Furthermore the requirement of closure of K0 under the *-product leads to the introduction of a novel notion of the *-product itself in regions where a boundary is present, that in turn yields the complexification of the gauge group and to consider chiral waves in one sense or other. The canonical quantization of the theory is sketched identifying the physical states and the physical operators. These last ones include ordinary NC Wilson lines starting and ending on the boundary that yield correlation functions depending on points on the one-dimensional boundary. We finally extend the definition of the *-product to a strip and comment on possible relevance of these results to finite quantum Hall systems.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
World Scientific
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Chern-Simons theories
dc.subject
Non-commutative theories
dc.subject.classification
Física de Partículas y Campos
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
A note on noncommutative Chern–Simons model on manifolds with boundary
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-02-10T14:08:50Z
dc.journal.volume
17
dc.journal.number
3
dc.journal.pagination
141-155
dc.journal.pais
Singapur
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dc.description.fil
Fil: Lugo, Adrián René. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
dc.journal.title
Modern Physics Letters A: Particles and Fields; Gravitation; Cosmology and Nuclear Physics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0217732302006047
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0217732302006047
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