Renormalization on noncommutative torus

dc.creatorD'ascanio, Daniela
dc.creatorGonzález Pisani, Pablo Andrés
dc.creatorVassilevich, D.V.
dc.date.accessioned2019-03-13T20:46:35Z
dc.date.accessioned2022-10-14T21:27:37Z
dc.date.available2019-03-13T20:46:35Z
dc.date.available2022-10-14T21:27:37Z
dc.date.created2019-03-13T20:46:35Z
dc.date.issued2016-04
dc.identifierD'ascanio, Daniela; González Pisani, Pablo Andrés; Vassilevich, D.V.; Renormalization on noncommutative torus; Springer; European Physical Journal C: Particles and Fields; 76; 4; 4-2016; 180-190
dc.identifier1434-6044
dc.identifierhttp://hdl.handle.net/11336/71573
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4308612
dc.description.abstractWe study a self-interacting scalar φ4 theory on the d-dimensional noncommutative torus. We determine, for the particular cases d= 2 and d= 4 , the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the ultraviolet/infrared mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix θ.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1140%2Fepjc%2Fs10052-016-4022-z
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1140/epjc/s10052-016-4022-z
dc.relationinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1602.01479
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectNONCOMMUTATIVE
dc.subjectRENORMALIZATION
dc.titleRenormalization on noncommutative torus
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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