Five-loop renormalization group functions of O(n)-symmetric φ4-theory and ϵ-expansions of critical exponents up to ϵ5

Five-loop renormalization group functions of O(n)-symmetric φ4-theory and ϵ-expansions of critical exponents up to ϵ5
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O(n)-对称 φ4-理论和 ϵ-临界指数展开至 ϵ5 的五环重正化群函数

DOI:
10.1016/0370-2693(91)91009-k
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发表时间:
1991
期刊:
影响因子:
4.4
通讯作者:
S. A. Larin
S. A. Larin
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
H. Kleinert;J. Neu;N. Schulte;K. Chetyrkin;S. A. Larin

文献摘要

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由于在已发表的β函数的五圈展开式中发现了135个图中的6个图的错误,以及D=4-π维O(n)对称φ4-理论的反常维数,我们给出了对所有图的全面解析重新评价的结果。通过极小减法消除了发散,并给出了临界指数η,ν和ω的直到5阶的展开式.
Motivated by the discovery of errors in six of the 135 diagrams in the published five-loop expansions of the β-function and the anomalous dimensions of the O(n)-symmetric φ4-theory in D=4-ϵ dimensions we present the results of a full analytic reevaluation of all diagrams. The divergences are removed by minimal subtraction and ϵ-expansions are given for the critical exponents η,ν and ω up to order ϵ5.