English

The $c_2$ invariant is invariant

Algebraic Geometry 2015-10-14 v2

Abstract

The c2c_2 invariants in all 4 different representations of the Feynman period (parametric and dual parametric representations, position and momentum spaces) coincide for all log-divergent graphs that satisfy the combinatorial condition called duality admissibility. We check this condition for a good subspace of graphs, for instance for all planar graphs. After the result in \cite{D3}, the coincidence holds for all physically relevant graphs.

Keywords

Cite

@article{arxiv.1312.7271,
  title  = {The $c_2$ invariant is invariant},
  author = {Dmitry Doryn},
  journal= {arXiv preprint arXiv:1312.7271},
  year   = {2015}
}

Comments

31 pages, 4 figures

R2 v1 2026-06-22T02:35:44.433Z