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

Pelissetto, Andrea and Vicari, Ettore (2007) Renormalised four-point coupling constant in the three-dimensional O(N)model with N=0. Journal of Physics A: Mathematical and General, 40 . F539-F550. ISSN 1361-6447

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Abstract

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 g* = 1.4005(5), where g is normalized so that the three-dimensional field-theoretical beta-function behaves as \beta(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 \nu, \nu = 0.5876(2).

Item Type: Article
Additional Information: Imported from arXiv
Subjects: UNSPECIFIED
Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI"
Depositing User: dott.ssa Sandra Faita
Date Deposited: 07 Apr 2015 17:53
Last Modified: 07 Apr 2015 17:53
URI: http://eprints.adm.unipi.it/id/eprint/1747

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