Modified Borel summation of divergent series and critical-exponent estimates for an N-vector cubic model in three dimensions from five-loop ε expansions

被引：25

作者：

Mudrov, AI

Varnashev, KB

机构：

[1] St Petersburg State Univ, Inst Phys, Dept Theoret Phys, St Petersburg 198904, Russia

[2] State Electrotech Univ, Dept Phys Elect, St Petersburg 197376, Russia

来源：

PHYSICAL REVIEW E | 1998年 / 58卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.58.5371

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

An approach to summation of divergent field-theoretical series is suggested. It is based on the Borel transformation combined with a conformal mapping and does not imply the exact asymptotic parameters to be known. The method is tested on functions expanded in their asymptotic power series. It is applied to estimating the critical exponent values for an N-vector field model, describing magnetic and structural phase transitions in cubic and tetragonal crystals, from five-loop epsilon expansions. [S1063-651X(98)04310-4].

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页码：5371 / 5375

页数：5

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