On overlapping divergences

被引:65
作者
Kreimer, D
机构
[1] Department of Physics, Mainz University
关键词
D O I
10.1007/s002200050661
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using set-theoretic considerations, we show that the forest formula for overlapping divergences comes from the Hopf algebra of rooted trees.
引用
收藏
页码:669 / 689
页数:21
相关论文
共 15 条
[1]  
BORWEIN JM, 1998, ELECT J COMB, V8, pR38
[2]   Unknotting the polarized vacuum of quenched QED [J].
Broadhurst, DJ ;
Delbourgo, R ;
Kreimer, D .
PHYSICS LETTERS B, 1996, 366 (1-4) :421-428
[3]  
BROADHURST DJ, HEPTH9810087
[4]  
Collins J., 1984, RENORMALIZATION, P34, DOI DOI 10.1017/CBO9780511622656
[5]   Hopf algebras, renormalization and noncommutative geometry [J].
Connes, A ;
Kreimer, D .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 199 (01) :203-242
[6]  
DELBOURGO R, HEPTH9903249
[7]  
EPSTEIN H, 1973, ANN I H POINCARE A, V19, P211
[8]  
EPSTEIN H, 1976, HOUCH 1975, P5
[9]  
HOFFMAN ME, 1998, IN PRESS J ALGEBRAIC, V5, pR38
[10]   On Kreimer's Hopf algebra structure of Feynman graphs [J].
Krajewski, T ;
Wulkenhaar, R .
EUROPEAN PHYSICAL JOURNAL C, 1999, 7 (04) :697-708