3-LOOP CALCULATION OF THE RANDOM RANDOM-WALK PROBLEM - AN APPLICATION OF DIMENSIONAL TRANSFORMATION AND THE UNIQUENESS METHOD

被引：15

作者：

DERKACHOV, SE ^{[1
]}

HONKONEN, J ^{[1
]}

PISMAK, YM ^{[1
]}

机构：

[1] UNIV HELSINKI, THEORET PHYS RES INST, SF-00170 HELSINKI 17, FINLAND

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 23期

关键词：

D O I：

10.1088/0305-4470/23/23/028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The method and details of the calculation of the three-loop contribution to the anomalous dimension of the diffusion coefficient of the model of a random walk in a potential random field with long-range correlations are presented. Contrary to earlier conjectures, this contribution does not vanish identically. A new method of calculation of multi-loop Feynman graphs with complicated numerator structure is suggested. It leads to simpler integrals in a space of higher dimensionality, which are computed using the recursion relations of the uniqueness method.

引用

页码：5563 / 5576

页数：14

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