On Motives Associated to Graph Polynomials
Abstract
The appearance of multiple zeta values in anomalous dimensions and β-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.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- October 2006
- DOI:
- 10.1007/s00220-006-0040-2
- arXiv:
- arXiv:math/0510011
- Bibcode:
- 2006CMaPh.267..181B
- Keywords:
-
- Mathematics - Algebraic Geometry;
- High Energy Physics - Theory
- E-Print:
- 54 p