Towards Functional Flows for Hierarchical Models

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dc.creatorLitim, Daniel F.
dc.date2007-04-12
dc.date2007-09-21
dc.date.accessioned2026-07-07T11:56:33Z
dc.date.available2026-07-07T11:56:33Z
dc.descriptionThe recursion relations of hierarchical models are studied and contrasted with functional renormalisation group equations in corresponding approximations. The formalisms are compared quantitatively for the Ising universality class, where the spectrum of universal eigenvalues at criticality is studied. A significant correlation amongst scaling exponents is pointed out and analysed in view of an underlying optimisation. Functional flows are provided which match with high accuracy all known scaling exponents from Dyson's hierarchical model for discrete block-spin transformations. Implications of the results are discussed.
dc.description17 pages, 4 figures; wording sharpened, typos removed, reference added; to appear with PRD
dc.identifierhttps://arxiv.org/abs/0704.1514
dc.identifierhttp://arxiv.org/abs/0704.1514
dc.identifierPhys.Rev.D76:105001,2007
dc.identifierdoi:10.1103/PhysRevD.76.105001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205574
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Phenomenology
dc.titleTowards Functional Flows for Hierarchical Models
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