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arXiv · 1312.7271

The $c_2$ invariant is invariant

Dmitry Doryn
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Abstract

The $c_2$ 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.

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Dmitry Doryn. 2013-12-27. The $c_2$ invariant is invariant. https://arxiv.org/abs/1312.7271

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