The QCD beta-function at O (1/N-f)

被引:88
作者
Gracey, JA
机构
[1] Dept. Appl. Math. and Theor. Phys., University of Liverpool, Liverpool L69 3BX
关键词
D O I
10.1016/0370-2693(96)00105-0
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The leading order coefficients of the beta-function of QCD are computed in a large N-f expansion. They are in agreement with the three loop <(MS)over bar>calculation. The method involves computing the anomalous dimension of the operator (G(mu nu)(alpha))(2), at the d-dimensional fixed point in the non-abelian Thirring model to which QCD is equivalent in this limit. The effect the O(1/N-f) corrections have on the location of the infrared stable fixed point for a range of N-f is also examined.
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页码:178 / 184
页数:7
相关论文
共 31 条
[1]   ON THE PHASE-STRUCTURE OF VECTOR-LIKE GAUGE-THEORIES WITH MASSLESS FERMIONS [J].
BANKS, T ;
ZAKS, A .
NUCLEAR PHYSICS B, 1982, 196 (02) :189-204
[2]   Matching QCD and heavy-quark effective theory heavy-light currents at two loops and beyond [J].
Broadhurst, DJ ;
Grozin, AG .
PHYSICAL REVIEW D, 1995, 52 (07) :4082-4098
[3]   ASYMPTOTIC-BEHAVIOR OF NON-ABELIAN GAUGE THEORIES TO 2-LOOP ORDER [J].
CASWELL, WE .
PHYSICAL REVIEW LETTERS, 1974, 33 (04) :244-246
[4]   THEORETICAL PREDICTIONS FOR CRITICAL EXPONENTS AT LAMBDA POINT OF BOSE LIQUIDS [J].
DERAMO, M ;
PELITI, L ;
PARISI, G .
LETTERE AL NUOVO CIMENTO, 1971, 2 (17) :878-&
[5]  
Egorian E., 1979, Teor. Mat. Fiz., V41, P26
[6]   THE ANALYTIC 4-LOOP CORRECTIONS TO THE QED BETA-FUNCTION IN THE MS SCHEME AND TO THE QED PSI-FUNCTION - TOTAL REEVALUATION [J].
GORISHNY, SG ;
KATAEV, AL ;
LARIN, SA ;
SURGULADZE, LR .
PHYSICS LETTERS B, 1991, 256 (01) :81-86
[7]   QUARK, GLUON AND GHOST ANOMALOUS DIMENSIONS AT 0(1/NF) IN QUANTUM CHROMODYNAMICS [J].
GRACEY, JA .
PHYSICS LETTERS B, 1993, 318 (01) :177-183
[8]   ALGORITHM FOR COMPUTING THE BETA-FUNCTION OF QUANTUM ELECTRODYNAMICS IN THE LARGE NF EXPANSION [J].
GRACEY, JA .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1993, 8 (14) :2465-2485
[9]   ULTRAVIOLET BEHAVIOR OF NON-ABELIAN GAUGE THEORIES [J].
GROSS, DJ ;
WILCZEK, F .
PHYSICAL REVIEW LETTERS, 1973, 30 (26) :1343-1346
[10]   O(1/N-F) CORRECTIONS TO THE THIRRING MODEL IN 2-LESS-THAN-D-LESS-THAN-4 [J].
HANDS, S .
PHYSICAL REVIEW D, 1995, 51 (10) :5816-5826