High-accuracy scaling exponents in the local potential approximation

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dc.creatorBervillier, Claude
dc.creatorJuttner, Andreas
dc.creatorLitim, Daniel F.
dc.date2007-01-18
dc.date2007-01-23
dc.date.accessioned2026-07-07T11:03:08Z
dc.date.available2026-07-07T11:03:08Z
dc.descriptionWe test equivalences between different realisations of Wilson's renormalisation group by computing the leading, subleading, and anti-symmetric corrections-to-scaling exponents, and the full fixed point potential for the Ising universality class to leading order in a derivative expansion. We discuss our methods with a special emphasis on accuracy and reliability. We establish numerical equivalence of Wilson-Polchinski flows and optimised renormalisation group flows with an unprecedented accuracy in the scaling exponents. Our results are contrasted with high-accuracy findings from Dyson's hierarchical model, where a tiny but systematic difference in all scaling exponents is established. Further applications for our numerical methods are briefly indicated.
dc.description9 pages, 7 figures, comparison and discussion/conclusions sharpened, references added
dc.identifierhttps://arxiv.org/abs/hep-th/0701172
dc.identifierhttp://arxiv.org/abs/hep-th/0701172
dc.identifierNucl.Phys.B783:213-226,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.03.036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188486
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Phenomenology
dc.titleHigh-accuracy scaling exponents in the local potential approximation
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