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dc.contributor.author
Lugo, Adrián René
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dc.date.available
2020-03-02T18:06:35Z
dc.date.issued
2001-06
dc.identifier.citation
Lugo, Adrián René; Correlation functions in the non-commutative Wess-Zumino-Witten model; Elsevier Science; Physics Letters B; 511; 1; 6-2001; 101-111
dc.identifier.issn
0370-2693
dc.identifier.uri
http://hdl.handle.net/11336/98632
dc.description.abstract
We develop a systematic perturbative expansion and compute the one-loop two-points, three-points and four-points correlation functions in a non-commutative version of the U (N) Wess-Zumino-Witten model in different regimes of the θ-parameter showing in the first case a kind of phase transition around the value θc = √p2 + 4m2/(λ2p), where λ is a ultraviolet cut-off in a Schwinger regularization scheme. As a by-product we obtain the functions of the renormalization group, showing they are essentially the same as in the commutative case but applied to the whole U (N) fields; in particular there exists a critical point where they are null, in agreement with a recent background field computation of the beta-function, and the anomalous dimension of the Lie algebra-valued field operator agrees with the current algebra prediction. The non-renormalization of the level k is explicitly verified from the four-points correlator, where a left-right non-invariant counter-term is needed to render finite the theory, that it is however null on-shell. These results give support to the equivalence of this model with the commutative one. © 2001 Elsevier Science B.V.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science
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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
Quantum field theories
dc.subject
Chern-Simons 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
Correlation functions in the non-commutative Wess-Zumino-Witten model
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-02-10T14:08:47Z
dc.journal.volume
511
dc.journal.number
1
dc.journal.pagination
101-111
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Lugo, Adrián René. Facultad de Ciencias Exactas, Universidad Nacional de la Plata; Argentina. 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
Physics Letters B
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/S0370-2693(01)00627-X
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S037026930100627X?via%3Dihub
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