Testing perturbative results with non-perturbative methods for the Hierarchical model
High Energy Physics - Lattice
2009-10-31 v1
Abstract
We present non-perturbative methods to calculate accurately the renormalized quantities for Dyson's Hierarchical Model. We apply this method and calculate the critical exponent gamma with 12 and 4 significant digits in the high and low temperature phases, respectively. We report accurate values for universal ratios of amplitudes and preliminary results concerning the comparison with perturbative results.
Cite
@article{arxiv.hep-lat/0011023,
title = {Testing perturbative results with non-perturbative methods for the Hierarchical model},
author = {Y. Meurice and M. B. Oktay},
journal= {arXiv preprint arXiv:hep-lat/0011023},
year = {2009}
}
Comments
3 pages, 2 figures, DPF2000