Spanning Forest Polynomials and the Transcendental Weight of Feynman Graphs

作者:Brown Francis*; Yeats Karen
来源:Communications in Mathematical Physics, 2011, 301(2): 357-382.
DOI:10.1007/s00220-010-1145-1

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.

  • 出版日期2011-1