On motives associated to graph polynomials

被引：136

作者：

Bloch, Spencer ^{[1
]}

Esnault, Helene

Kreimer, Dirk

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Univ Duisburg Gesamthsch, FB6, D-45117 Essen, Germany

[3] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

[4] Boston Univ, Boston, MA 02215 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2006年 / 267卷 / 01期

关键词：

D O I：

10.1007/s00220-006-0040-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The appearance of multiple zeta values in anomalous dimensions and beta-functions of renormalizable quantum field theories has given evidence towards a motivic interpretation of these renormalization group functions. In this paper we start to hunt the motive, restricting our attention to a subclass of graphs in four dimensional scalar field theory which give scheme independent contributions to the above functions.

引用

页码：181 / 225

页数：45

共 12 条

[1]

ARTIN M, 1973, LECT NOTES MATH, V305, P145

[2]

Belkale P, 2003, DUKE MATH J, V116, P147

[3]

Borel A., 1977, Ann. Sc. Norm. Super. Pisa, Cl. Sci., V4, P613

[4] Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops [J].