High-accuracy critical exponents of O(N) hierarchical sigma models

Details High-accuracy critical exponents of O(N) hierarchical sigma models High-accuracy critical exponents of O(N) hierarchical sigma models

2005-11-19

arxiv.org/abs/hep-th/0511194v1

Phys.Rev. D73 (2006) 047701

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 2 Figs., uses revtex

Scientific paper

10.1063/1.2359255

We perform high-accuracy calculations of the critical exponent gamma and its subleading exponent for the 3D O(N) Dyson's hierarchical model, for N up to 20. We calculate the critical temperatures for the nonlinear sigma model measure. We discuss the possibility of extracting the first coefficients of the 1/N expansion from our numerical data. We show that the leading and subleading exponents agreewith Polchinski equation and the equivalent Litim equation, in the local potential approximation, with at least 4 significant digits.

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