Effective Critical Exponents for Dimensional Ccrossover and Quantum Systems from an Environmentally Friendly Renormalization Group

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dc.creatorO'Connor, Denjoe
dc.creatorStephens, C. R.
dc.date1993-10-14
dc.date.accessioned2026-07-07T12:03:46Z
dc.date.available2026-07-07T12:03:46Z
dc.descriptionSeries for the Wilson functions of an ``environmentally friendly'' renormalization group are computed to two loops, for an $O(N)$ vector model, in terms of the ``floating coupling'', and resummed by the Padé method to yield crossover exponents for finite size and quantum systems. The resulting effective exponents obey all scaling laws, including hyperscaling in terms of an effective dimensionality, ${d\ef}=4-\gl$, which represents the crossover in the leading irrelevant operator, and are in excellent agreement with known results.
dc.description10 pages of Plain Tex, Postscript figures available upon request from denjoe@stp.dias.ie, preprint numbers THU-93/18, DIAS-STP-93-18
dc.identifierhttps://arxiv.org/abs/hep-th/9310086
dc.identifierhttp://arxiv.org/abs/hep-th/9310086
dc.identifierPhys.Rev.Lett.72:506-509,1994
dc.identifierdoi:10.1103/PhysRevLett.72.506
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207900
dc.subjectHigh Energy Physics - Theory
dc.titleEffective Critical Exponents for Dimensional Ccrossover and Quantum Systems from an Environmentally Friendly Renormalization Group
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