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

共 23 条

[11] EXACT CALCULATION OF THE ANOMALOUS DIMENSION OF THE DIFFUSION-COEFFICIENT FOR A MODEL OF A RANDOM-WALK IN A RANDOM POTENTIAL [J].

HONKONEN, J ;

PISMAK, YM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :L899-L905

[12] DIFFUSION IN A RANDOM MEDIUM WITH LONG-RANGE CORRELATIONS [J].

HONKONEN, J ;

KARJALAINEN, E .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (22) :4217-4234

[13] THE METHOD OF UNIQUENESS, A NEW POWERFUL TECHNIQUE FOR MULTILOOP CALCULATIONS [J].

KAZAKOV, DI .

PHYSICS LETTERS B, 1983, 133 (06) :406-410

[14] CALCULATION OF FEYNMAN DIAGRAMS BY THE UNIQUENESS METHOD [J].

KAZAKOV, DI .

THEORETICAL AND MATHEMATICAL PHYSICS, 1984, 58 (03) :223-230

[15] MANY-LOOP CALCULATIONS - THE UNIQUENESS METHOD AND FUNCTIONAL-EQUATIONS [J].

KAZAKOV, DI .

THEORETICAL AND MATHEMATICAL PHYSICS, 1985, 62 (01) :84-89

[16] RANDOM-WALKS IN MEDIA WITH CONSTRAINED DISORDER [J].

KRAVTSOV, VE ;

LERNER, IV ;

YUDSON, VI .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (12) :L703-L707

[17] THE EINSTEIN RELATION AND EXACT GELL-MANN-LOW FUNCTION FOR RANDOM-WALKS IN MEDIA WITH RANDOM DRIFTS [J].

KRAVTSOV, VE ;

LERNER, IV ;

YUDSON, VI .

PHYSICS LETTERS A, 1986, 119 (05) :203-206

[18]

KRAVTSOV VE, 1986, ZH EKSP TEOR FIZ, V64, P336

[19] DIFFUSION IN A RANDOM MEDIUM - A RENORMALIZATION-GROUP APPROACH [J].

LUCK, JM .

NUCLEAR PHYSICS B, 1983, 225 (02) :169-184

[20] RANDOM-WALK IN A RANDOM ENVIRONMENT AND 1/F NOISE [J].

MARINARI, E ;

PARISI, G ;

RUELLE, D ;

WINDEY, P .

PHYSICAL REVIEW LETTERS, 1983, 50 (17) :1223-1225

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