NEW METHOD IN THE COMBINATORICS OF THE TOPOLOGICAL EXPANSION

被引:113
作者
BESSIS, D
机构
[1] Service de Physique Théorique, CEN Saclay, Gif-sur-Yvette
关键词
D O I
10.1007/BF01221445
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We reduce the counting problem for the vacuum diagrams of a φ4 theory to a moment problem. As a consequence we are able to give the generating function for the counting of diagrams on a torus with one hole, besides the known result for planar diagrams. The method can be extended to φn theory and also to the counting of diagrams on a torus with an arbitrary number of holes. © 1979 Springer-Verlag.
引用
收藏
页码:147 / 163
页数:17
相关论文
共 3 条
[1]  
AKHIEZER NI, 1965, CLASSICAL MOMENT PRO, P23
[2]   PLANAR DIAGRAMS [J].
BREZIN, E ;
ITZYKSON, C ;
PARISI, G ;
ZUBER, JB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (01) :35-51
[3]  
Laguerre E.N., 1885, J MATH PURE APPL, V1, P135