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arXiv · 1610.00668

On $c_2$ invariants of 4-regular Feynman graphs

Dmitry Doryn
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Abstract

The obstruction for application of effective techniques like denominator reduction for the computation of the $c_2$ invariant of Feynman graphs in general is the absence of a 3-valent vertex for the initial steps. In this paper such a formula for a 4-valent vertex is derived. The formula allows to compute the $c_2$ invariant of new graphs, for instance, 4-regular graphs with small loop number.

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Dmitry Doryn. 2016-10-03. On $c_2$ invariants of 4-regular Feynman graphs. https://doi.org/10.1007/s11005-017-0950-2

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