| dc.creator | Lugo, Adrián René | |
| dc.date | 2001-06 | |
| dc.date | 2020-09-15T12:40:33Z | |
| dc.date.accessioned | 2023-07-14T22:01:03Z | |
| dc.date.available | 2023-07-14T22:01:03Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/104617 | |
| dc.identifier | http://hdl.handle.net/11336/98632 | |
| dc.identifier | issn:0370-2693 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7445287 | |
| dc.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. | |
| dc.description | Instituto de Física La Plata | |
| dc.format | application/pdf | |
| dc.format | 101-111 | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.rights | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
| dc.subject | Física | |
| dc.subject | Quantum field theories | |
| dc.subject | Chern-simons theories | |
| dc.title | Correlation functions in the non-commutative Wess-Zumino-Witten model | |
| dc.type | Articulo | |
| dc.type | Preprint | |
