Loop Model with Generalized Fugacity in Three Dimensions

dc.creatorHiguchi, Saburo
dc.date1999-07-22
dc.date1999-12-02
dc.date.accessioned2026-07-07T10:51:44Z
dc.date.available2026-07-07T10:51:44Z
dc.descriptionA statistical model of loops on the three-dimensional lattice is proposed and is investigated. It is O(n)-type but has loop fugacity that depends on global three-dimensional shapes of loops in a particular fashion. It is shown that, despite this non-locality and the dimensionality, a layer-to-layer transfer matrix can be constructed as a product of local vertex weights for infinitely many points in the parameter space. Using this transfer matrix, the site entropy is estimated numerically in the fully packed limit.
dc.description16pages, 4 eps figures, (v2) typos and Table 3 corrected. Refs added, (v3) an error in an explanation of fig.2 corrected. Refs added. (v4) Changes in the presentation
dc.identifierhttps://arxiv.org/abs/cond-mat/9907335
dc.identifierhttp://arxiv.org/abs/cond-mat/9907335
dc.identifierJ.Phys.A33:1661-1673,2000
dc.identifierdoi:10.1088/0305-4470/33/8/310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184918
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleLoop Model with Generalized Fugacity in Three Dimensions
dc.typetext

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