Thermodynamics of the two--dimensional O(3) non linear sigma model with Fixed-Point lattice action
High Energy Physics - Lattice
2009-10-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/9611027,
title = {Thermodynamics of the two--dimensional O(3) non linear sigma model with Fixed-Point lattice action},
author = {S. P. Spiegel},
journal= {arXiv preprint arXiv:hep-lat/9611027},
year = {2009}
}
Comments
10 pages, 5 postscript figures, 1 table, uses elsart.cls and epsf.tex, sent for publication to Physics Letters B, reference number 9194