SOME EXACT RESULTS FOR N-POINT MASSIVE FEYNMAN-INTEGRALS

被引:76
作者
DAVYDYCHEV, AI
机构
[1] Institute for Nuclear Physics, Moscow State University, 119899, Moscow
关键词
D O I
10.1063/1.529383
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By using the Mellin-Barnes representation for massive denominators, some exact results for classes of one-loop N-point massive Feynman integrals are obtained for arbitrary values of the line indices (the powers of denominators) and of the space-time dimension. A representation for corresponding massless integral is also derived.
引用
收藏
页码:1052 / 1060
页数:9
相关论文
共 50 条
[1]  
ALEKSEEV AI, 1981, IHEP8128 PREPR
[2]  
[Anonymous], 1926, FONCTIONS HYPERGEOME
[3]  
ARBUZOV BA, 1984, YAD FIZ, V40, P836
[4]   METHOD OF GAUGE-INVARIANT REGULARIZATION [J].
ASHMORE, JF .
LETTERE AL NUOVO CIMENTO, 1972, 4 (08) :289-+
[5]  
BAILEY WN, 1935, GENERALIZED HYPERGEO
[6]   CALCULATION OF LADDER DIAGRAMS IN ARBITRARY ORDER [J].
BELOKUROV, VV ;
USSYUKINA, NI .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (12) :2811-2816
[7]   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
[8]   ASYMPTOTIC EXPANSION OF FEYNMAN AMPLITUDES .1. CONVERGENT CASE [J].
BERGERE, MC ;
LAM, YMP .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 39 (01) :1-32
[9]   THEOREM ON ASYMPTOTIC-EXPANSION OF FEYNMAN AMPLITUDES [J].
BERGERE, MC ;
CALAN, CD ;
MALBOUISSON, APC .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 62 (02) :137-158
[10]  
BOLLINI CG, 1972, NUOV CIMEN S I FIS B, VB 12, P20