ASYMPTOTIC EXPANSIONS IN LIMITS OF LARGE MOMENTA AND MASSES

被引:126
作者
SMIRNOV, VA
机构
[1] Nuclear Physics Institute of Moscow State University, Moscow
关键词
D O I
10.1007/BF02102092
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Asymptotic expansions of renormalized Feynman amplitudes in limits of large momenta and/or masses are proved. The corresponding asymptotic operator expansions for the S-matrix, composite operators and their time-ordered products are presented. Coefficient functions of these expansions are homogeneous within a regularization of dimensional or analytic type. Furthermore, they are explicitly expressed in terms of renormalized Feynman amplitudes (at the diagrammatic level) and certain Green functions (at the operator level). © 1990 Springer-Verlag.
引用
收藏
页码:109 / 137
页数:29
相关论文
共 48 条
[1]   SHORT-DISTANCE AND LIGHT-CONE EXPANSIONS FOR PRODUCTS OF CURRENTS [J].
ANIKIN, SA ;
ZAVIALOV, OI .
ANNALS OF PHYSICS, 1978, 116 (01) :135-166
[2]   NON-ANALYTICITY OF THE PERTURBATIVE EXPANSION FOR SUPER-RENORMALIZABLE MASSLESS FIELD-THEORIES [J].
BERGERE, MC ;
DAVID, F .
ANNALS OF PHYSICS, 1982, 142 (02) :416-447
[3]   ASYMPTOTIC EXPANSION OF FEYNMAN AMPLITUDES .1. CONVERGENT CASE [J].
BERGERE, MC ;
LAM, YMP .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 39 (01) :1-32
[4]   THEOREM ON ASYMPTOTIC-EXPANSION OF FEYNMAN AMPLITUDES [J].
BERGERE, MC ;
CALAN, CD ;
MALBOUISSON, APC .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 62 (02) :137-158
[5]   DIMENSIONAL RENORMALIZATION AND ACTION PRINCIPLE [J].
BREITENLOHNER, P ;
MAISON, D .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 52 (01) :11-38
[6]   SIMPLE APPROACH TO RENORMALIZATION THEORY [J].
CASWELL, WE ;
KENNEDY, AD .
PHYSICAL REVIEW D, 1982, 25 (02) :392-408
[7]   INFRARED RSTAR-OPERATION AND OPERATOR PRODUCT EXPANSION IN THE MINIMAL SUBTRACTION SCHEME [J].
CHETYRKIN, KG .
PHYSICS LETTERS B, 1983, 126 (05) :371-375
[8]   OPERATOR PRODUCT EXPANSION IN THE MINIMAL SUBTRACTION SCHEME [J].
CHETYRKIN, KG ;
GORISHNY, SG ;
TKACHOV, FV .
PHYSICS LETTERS B, 1982, 119 (4-6) :407-411
[9]  
CHETYRKIN KG, 1987, IN PRESS TEOR MAT FI
[10]  
CHETYRKIN KG, 1989, R STAR OPERATION