Testing perturbative results with non-perturbative methods for the Hierarchical model

Details Testing perturbative results with non-perturbative methods for the Hierarchical model Testing perturbative results with non-perturbative methods for the Hierarchical model

2000-11-02

arxiv.org/abs/hep-lat/0011023v1

Int.J.Mod.Phys. A16S1C (2001) 1251-1254

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 2 figures, DPF2000

Scientific paper

10.1142/S0217751X01009454

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.

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