Pseudo-epsilon expansion and the two-dimensional Ising model

Details Pseudo-epsilon expansion and the two-dimensional Ising model Pseudo-epsilon expansion and the two-dimensional Ising model

2005-10-04

arxiv.org/abs/cond-mat/0510088v2

Fiz.Tverd.Tela 47 (2005) 2056-2059; Sov.Phys.Solid State 47 (2005) 2144-2147

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 tables, few misprints avoided

Scientific paper

10.1134/1.2131160

Starting from the five-loop renormalization-group expansions for the two-dimensional Euclidean scalar \phi^4 field theory (field-theoretical version of two-dimensional Ising model), pseudo-\epsilon expansions for the Wilson fixed point coordinate g*, critical exponents, and the sextic effective coupling constant g_6 are obtained. Pseudo-\epsilon expansions for g*, inverse susceptibility exponent \gamma, and g_6 are found to possess a remarkable property - higher-order terms in these expansions turn out to be so small that accurate enough numerical estimates can be obtained using simple Pade approximants, i. e. without addressing resummation procedures based upon the Borel transformation.

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