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

Andrea Pelissetto; Ettore Vicari

doi:10.1088/1751-8113/40/26/f05

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

Andrea Pelissetto·Ettore Vicari

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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 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).

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Andrea Pelissetto, Ettore Vicari. 2007-03-05. Renormalised four-point coupling constant in the three-dimensional O(N) model with N=0. https://doi.org/10.1088/1751-8113%2F40%2F26%2Ff05

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