Renormalised four-point coupling constant in the three-dimensional O(N) model with N=0

dc.creatorPelissetto, Andrea
dc.creatorVicari, Ettore
dc.date2007-03-05
dc.date.accessioned2026-07-07T11:21:29Z
dc.date.available2026-07-07T11:21:29Z
dc.descriptionWe simulate self-avoiding walks on a cubic lattice and determine the second virial coefficient for walks of different lengths. This allows us to determine the critical value of the renormalized four-point coupling constant in the three-dimensional N-vector universality class for N=0. We obtain g* = 1.4005(5), where g is normalized so that the three-dimensional field-theoretical beta-function behaves as β(g) = - g + g^2 for small g. As a byproduct, we also obtain precise estimates of the interpenetration ratio Psi*, Psi* = 0.24685(11), and of the exponent ν, ν= 0.5876(2).
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0703114
dc.identifierhttp://arxiv.org/abs/cond-mat/0703114
dc.identifierJ.Phys.A40:F539,2007; J.Phys.A40:F539-F550,2007
dc.identifierdoi:10.1088/1751-8113/40/26/F05
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194277
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalised four-point coupling constant in the three-dimensional O(N) model with N=0
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