Thermodynamics of the two--dimensional O(3) non linear sigma model with Fixed-Point lattice action

Details Thermodynamics of the two--dimensional O(3) non linear sigma model with Fixed-Point lattice action Thermodynamics of the two--dimensional O(3) non linear sigma model with Fixed-Point lattice action

1996-11-26

arxiv.org/abs/hep-lat/9611027v1

Phys.Lett. B400 (1997) 352-357

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 5 postscript figures, 1 table, uses elsart.cls and epsf.tex, sent for publication to Physics Letters B, reference nu

Scientific paper

10.1016/S0370-2693(97)00346-8

We calculate the free energy density of the two dimensional O(3) non linear sigma model over a large temperature region. At high temperatures the calculations could be done by perturbation theory whereas in the low temperature regime we used Monte-Carlo simulations. Using the Fixed--Point action the results do not show any remarkable cut-off effects and furthermore the behaviour of these effects is nearly the same over the whole temperature region. The results of the Fixed-Point action are then compared to those of the standard Wilson action.

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