Testing perturbative results with non-perturbative methods for the Hierarchical model
arXiv:hep-lat/0011023 · doi:10.1142/S0217751X01009454
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.
3 pages, 2 figures, DPF2000