Correlation functions in the non-commutative Wess-Zumino-Witten model

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 aroun...

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Detalles Bibliográficos
Autor principal: Lugo, Adrián René
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2001
Materias:
Física
Quantum field theories
Chern-simons theories
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/104617
http://hdl.handle.net/11336/98632
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-104617
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Quantum field theories
Chern-simons theories
spellingShingle Física
Quantum field theories
Chern-simons theories
Lugo, Adrián René
Correlation functions in the non-commutative Wess-Zumino-Witten model
topic_facet Física
Quantum field theories
Chern-simons theories
description 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.
format Articulo
Preprint
author Lugo, Adrián René
author_facet Lugo, Adrián René
author_sort Lugo, Adrián René
title Correlation functions in the non-commutative Wess-Zumino-Witten model
title_short Correlation functions in the non-commutative Wess-Zumino-Witten model
title_full Correlation functions in the non-commutative Wess-Zumino-Witten model
title_fullStr Correlation functions in the non-commutative Wess-Zumino-Witten model
title_full_unstemmed Correlation functions in the non-commutative Wess-Zumino-Witten model
title_sort correlation functions in the non-commutative wess-zumino-witten model
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/104617
http://hdl.handle.net/11336/98632
work_keys_str_mv AT lugoadrianrene correlationfunctionsinthenoncommutativewesszuminowittenmodel
bdutipo_str Repositorios
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