Pseudo-epsilon expansion and the two-dimensional Ising model

Abstract

Starting from the five-loop renormalization-group expansions for the two-dimensional Euclidean scalar ϕ^4 field theory (field-theoretical version of two-dimensional Ising model), pseudo-εexpansions for the Wilson fixed point coordinate g*, critical exponents, and the sextic effective coupling constant g_6 are obtained. Pseudo-εexpansions for g*, inverse susceptibility exponent γ, 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.

4 pages, 4 tables, few misprints avoided

References in corpus (3)

• Critical Phenomena and Renormalization-Group Theory
• On the criticality of frustrated spin systems with noncollinear order
• Critical behavior of two-dimensional cubic and MN models in the five-loop renormalization-group approximation

Cited by in corpus (6)

• Critical Exponents of Superfluid Helium and Pseudo-$\epsilon$ Expansion
• Critical Exponents in Two Dimensions and Pseudo-ε Expansion
• Pseudo-$\epsilon$ Expansion and Renormalized Coupling Constants at Criticality
• Renormalization Scheme Dependence, RG Flow and Borel Summability in ${\varphi }^4$ Theories in $d<4$
• Fisher Exponent from Pseudo-$\epsilon$ Expansion
• Anisotropy of a Cubic Ferromagnet at Criticality