Critical parameters of N-vector spin models on 3d lattices from high temperature series extended to order beta^{21}

Details Critical parameters of N-vector spin models on 3d lattices from high temperature series extended to order beta^{21} Critical parameters of N-vector spin models on 3d lattices from high temperature series extended to order beta^{21}

1997-10-08

arxiv.org/abs/hep-lat/9710032v1

Nucl.Phys.Proc.Suppl. 63 (1998) 643-645

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Latex,(fleqn.sty, espcrc2.sty) no figures, contribution to Lattice'97 to appear in Nucl. Phys. Proc. Suppl

Scientific paper

10.1016/S0920-5632(97)00858-X

High temperature expansions for the free energy, the susceptibility and the second correlation moment of the classical N-vector model [also denoted as the O(N) symmetric classical spin Heisenberg model or as the lattice O(N) nonlinear sigma model] have been extended to order beta^{21} on the simple cubic and the body centered cubic lattices, for arbitrary N. The series for the second field derivative of the susceptibility has been extended to order beta^{17}. An analysis of the newly computed series yields updated estimates of the model's critical parameters in good agreement with present renormalization group estimates.

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