Logarithmic Corrections for Spin Glasses, Percolation and Lee-Yang Singularities in Six Dimensions

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dc.creatorRuiz-Lorenzo, J. J.
dc.date1998-04-28
dc.date1998-09-10
dc.date.accessioned2026-07-07T10:51:42Z
dc.date.available2026-07-07T10:51:42Z
dc.descriptionWe study analytically the logarithmic corrections to the critical exponents of the critical behavior of correlation length, susceptibility and specific heat for the temperature and the finite-size scaling behavior, for a generic $ϕ^3$ theory at its upper critical dimension (six). We have also computed the leading correction to scaling as a function of the lattice size. We distinguish the obtained formulas to the following special cases: percolation, Lee-Yang (LY) singularities and $m$-component spin glasses. We have compared our results for the Ising spin glass case with numerical simulations finding a very good agreement. Finally, and using the results obtained for the Lee-Yang singularities in six dimensions, we have computed the logarithmic corrections to the singular part of the free energy for lattice animals in eight dimensions.
dc.description18 pages. We have extended the computation to lattice animals in eight dimensions. To be published in Journal of Physics A
dc.identifierhttps://arxiv.org/abs/cond-mat/9804302
dc.identifierhttp://arxiv.org/abs/cond-mat/9804302
dc.identifierJ.Phys.A31:8773-8787,1998
dc.identifierdoi:10.1088/0305-4470/31/44/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184910
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleLogarithmic Corrections for Spin Glasses, Percolation and Lee-Yang Singularities in Six Dimensions
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