THE 3-LOOP QCD BETA-FUNCTION AND ANOMALOUS DIMENSIONS

被引：499

作者：

LARIN, SA

VERMASEREN, JAM

机构：

[1] NIKHEF-H, NL-1009 DB Amsterdam

来源：

PHYSICS LETTERS B | 1993年 / 303卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(93)91441-O

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The analytic calculation of the three-loop QCD beta-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant gauge is presented. The result for the beta-function coincides with the previous calculation [O.V. Tarasov, A.A. Vladimirov and A.Yu. Zharkov, Phys. Lett. B 93 (1980) 429].

引用

收藏

页码：334 / 336

页数：3

相关论文

共 19 条

[1] ASYMPTOTIC-BEHAVIOR OF NON-ABELIAN GAUGE THEORIES TO 2-LOOP ORDER [J].

CASWELL, WE .

PHYSICAL REVIEW LETTERS, 1974, 33 (04) :244-246

[2] NEW APPROACH TO EVALUATION OF MULTI-LOOP FEYNMAN-INTEGRALS - THE GEGENBAUER POLYNOMIAL X-SPACE TECHNIQUE [J].

CHETYRKIN, KG ;

KATAEV, AL ;

TKACHOV, FV .

NUCLEAR PHYSICS B, 1980, 174 (2-3) :345-377

[3] STRUCTURE OF COUNTERTERMS IN DIMENSIONAL REGULARIZATION [J].

COLLINS, JC .

NUCLEAR PHYSICS B, 1974, B 80 (02) :341-348

[4]

CVITANOVIC P, 1976, PHYS REV D, V14, P1540

[5]

Egorian E. S., 1979, TEOR MAT FIZ, V41, P26

[6] THE O(ALPHA-S3) CORRECTIONS TO SIGMA-TOT(E+E--] HADRONS) AND GAMMA(TAU- -]NU-TAU + HADRONS) IN QCD [J].

GORISHNY, SG ;

KATAEV, AL ;

LARIN, SA .

PHYSICS LETTERS B, 1991, 259 (1-2) :144-150

[7] NEXT-NEXT-TO-LEADING O(ALPHA-S3BAR) QCD CORRECTION TO SIGMA-TOT(E+E--]HADRONS) - ANALYTICAL CALCULATION AND ESTIMATION OF THE PARAMETER LAMBDA-MSBAR [J].

GORISHNY, SG ;

KATAEV, AL ;

LARIN, SA .

PHYSICS LETTERS B, 1988, 212 (02) :238-244

[8] ULTRAVIOLET BEHAVIOR OF NON-ABELIAN GAUGE THEORIES [J].

GROSS, DJ ;

WILCZEK, F .

PHYSICAL REVIEW LETTERS, 1973, 30 (26) :1343-1346

[9] 2-LOOP DIAGRAMS IN YANG-MILLS THEORY [J].

JONES, DRT .

NUCLEAR PHYSICS B, 1974, B 75 (03) :531-538

[10] THE ALPHA-S3 CORRECTIONS TO THE BJORKEN SUM-RULE FOR POLARIZED ELECTROPRODUCTION AND TO THE SMITH,GROSS,LLEWELLYN SUM-RULE [J].

LARIN, SA ;

VERMASEREN, JAM .

PHYSICS LETTERS B, 1991, 259 (03) :345-352