High temperature critical O(N) field models by LCE series

Abstract

The critical properties of renormalizable O(N) field models are determined by means of the high order ($\ge 18$) behaviour of convergent linked cluster series on finite temperature lattices. It is shown that those models become weakly coupled at the phase transition. The critical exponents agree to those of the corresponding superrenormalizable 3-dimensional models. Concerning critical amplitudes and subcritical behaviour, corrections induced by renormalizable couplings are measurable.

10 pages, latex

References in corpus (3)

• Exact evolution equation for the effective potential
• New extended high temperature series for the N-vector spin models on three-dimensional bipartite lattices
• Advanced Linked Cluster Expansion. Scalar Fields at Finite Temperature

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