2007/03/05 by Andrea Pelissetto, Ettore Vicari · 1 citation
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.1088/1751-8113/40/26/f05
published as J.Phys.A40:F539,2007; J.Phys.A40:F539-F550,2007 · 16 pages
arxiv created 2007/03/05 · openalex publication_date 2007/06/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We 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 , where is normalized so that the three-dimensional field-theoretical β function behaves as for small . As a byproduct, we also obtain precise estimates of the interpenetration ratio Ψ*, Ψ* = 0.246 85(11) and of the exponent ν, ν = 0.5876(2).