Fixed Points of Nonlinear Sigma Models in d>2

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dc.creatorCodello, A.
dc.creatorPercacci, R.
dc.date2008-10-03
dc.date.accessioned2026-07-07T12:42:40Z
dc.date.available2026-07-07T12:42:40Z
dc.descriptionUsing Wilsonian methods, we study the renormalization group flow of the Nonlinear Sigma Model in any dimension $d$, restricting our attention to terms with two derivatives. At one loop we always find a Ricci flow. When symmetries completely fix the internal metric, we compute the beta function of the single remaining coupling, without any further approximation. For $d>2$ and positive curvature, there is a nontrivial fixed point, which could be used to define an ultraviolet limit, in spite of the perturbative nonrenormalizability of the theory. Potential applications are briefly mentioned.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0810.0715
dc.identifierhttp://arxiv.org/abs/0810.0715
dc.identifierPhys.Lett.B672:280-283,2009
dc.identifierdoi:10.1016/j.physletb.2009.01.032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220158
dc.subjectHigh Energy Physics - Theory
dc.titleFixed Points of Nonlinear Sigma Models in d>2
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