Scaling algebras and pointlike fields: A nonperturbative approach to renormalization

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dc.creatorBostelmann, Henning
dc.creatorD'Antoni, Claudio
dc.creatorMorsella, Gerardo
dc.date2007-11-27
dc.date2008-10-14
dc.date.accessioned2026-07-07T12:23:16Z
dc.date.available2026-07-07T12:23:16Z
dc.descriptionWe present a method of short-distance analysis in quantum field theory that does not require choosing a renormalization prescription a priori. We set out from a local net of algebras with associated pointlike quantum fields. The net has a naturally defined scaling limit in the sense of Buchholz and Verch; we investigate the effect of this limit on the pointlike fields. Both for the fields and their operator product expansions, a well-defined limit procedure can be established. This can always be interpreted in the usual sense of multiplicative renormalization, where the renormalization factors are determined by our analysis. We also consider the limits of symmetry actions. In particular, for suitable limit states, the group of scaling transformations induces a dilation symmetry in the limit theory.
dc.descriptionminor changes and clarifications; as to appear in Commun. Math. Phys.; 37 pages
dc.identifierhttps://arxiv.org/abs/0711.4237
dc.identifierhttp://arxiv.org/abs/0711.4237
dc.identifierCommun.Math.Phys.285:763-798,2009
dc.identifierdoi:10.1007/s00220-008-0613-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213932
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectOperator Algebras
dc.subject81T05
dc.titleScaling algebras and pointlike fields: A nonperturbative approach to renormalization
dc.typetext

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