The 2nd order renormalization group flow for non-linear sigma models in 2 dimensions

dc.creatorOliynyk, Todd A.
dc.date2009-04-07
dc.date.accessioned2026-07-07T13:12:32Z
dc.date.available2026-07-07T13:12:32Z
dc.descriptionWe show that for two dimensional manifolds M with negative Euler characteristic there exists subsets of the space of smooth Riemannian metrics which are invariant and either parabolic or backwards-parabolic for the 2nd order RG flow. We also show that solutions exists globally on these sets. Finally, we establish the existence of an eternal solution that has both a UV and IR limit, and passes through regions where the flow is parabolic and backwards-parabolic.
dc.identifierhttps://arxiv.org/abs/0904.1241
dc.identifierhttp://arxiv.org/abs/0904.1241
dc.identifierClass. Quantum Grav. 26 (2009) 105020 (8pp)
dc.identifierdoi:10.1088/0264-9381/26/10/105020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229609
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectDifferential Geometry
dc.titleThe 2nd order renormalization group flow for non-linear sigma models in 2 dimensions
dc.typetext

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