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

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

1995-07-08

arxiv.org/abs/hep-lat/9507011v1

Phys.Lett. B360 (1995) 77-82

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, latex

Scientific paper

10.1016/0370-2693(95)01111-3

The critical properties of renormalizable O(N) field models are determined by means of the high order ($\geq 18$) 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.

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