Properties of c_2 invariants of Feynman graphs
Algebraic Geometry
2012-03-13 v2 High Energy Physics - Theory
Abstract
The c_2 invariant of a Feynman graph is an arithmetic invariant which detects many properties of the corresponding Feynman integral. In this paper, we define the c_2 invariant in momentum space and prove that it equals the c_2 invariant in parametric space for overall log-divergent graphs. Then we show that the c_2 invariant of a graph vanishes whenever it contains subdivergences. Finally, we investigate how the c_2 invariant relates to identities such as the four-term relation in knot theory.
Keywords
Cite
@article{arxiv.1203.0188,
title = {Properties of c_2 invariants of Feynman graphs},
author = {Francis Brown and Oliver Schnetz and Karen Yeats},
journal= {arXiv preprint arXiv:1203.0188},
year = {2012}
}
Comments
31 pages,7 figures