Constraints on Beta Functions from Duality

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dc.creatorDamgaard, P. H.
dc.creatorHaagensen, P. E.
dc.date1996-09-25
dc.date1996-09-30
dc.date.accessioned2026-07-07T11:34:16Z
dc.date.available2026-07-07T11:34:16Z
dc.descriptionWe analyze the way in which duality constrains the exact beta function and correlation length in single-coupling spin systems. A consistency condition we propose shows very concisely the relation between self-dual points and phase transitions, and implies that the correlation length must be duality invariant. These ideas are then tested on the 2-d Ising model, and used towards finding the exact beta function of the $q$-state Potts model. Finally, a generic procedure is given for identifying a duality symmetry in other single-coupling models with a continuous phase transition.
dc.descriptionLaTeX, 6 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/9609242
dc.identifierhttp://arxiv.org/abs/cond-mat/9609242
dc.identifierJ.Phys.A30:4681-4686,1997
dc.identifierdoi:10.1088/0305-4470/30/13/019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198184
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleConstraints on Beta Functions from Duality
dc.typetext

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