Spanning Forest Polynomials and the Transcendental Weight of Feynman Graphs

被引：41
|
作者：
Brown, Francis [1 ]
Yeats, Karen [2 ]
机构：
[1] Univ Paris 06, Inst Math Jussieu Paris, UMR 7586, F-75005 Paris, France
[2] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 156, Canada
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 301卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Span Tree; Feynman Graph; Feynman Integral; White Vertex; Weight Drop;
D O I：
10.1007/s00220-010-1145-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We give combinatorial criteria for predicting the transcendental weight of Feynman integrals of certain graphs in phi(4) theory. By studying spanning forest polynomials, we obtain operations on graphs which are weight-preserving, and a list of subgraphs which induce a drop in the transcendental weight.
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页码：357 / 382
页数：26
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