Journal title
Communications in Number Theory and Physics Vol. 11, no. 3, pages 657-705
DOI
10.4310/CNTP.2017.v11.n3.a3
Last updated
2024-04-10T08:06:28.747+01:00
Abstract
We report on calculations of Feynman periods of primitive log-divergent
$\phi^4$ graphs up to eleven loops. The structure of $\phi^4$ periods is
described by a series of conjectures. In particular, we discuss the possibility
that $\phi^4$ periods are a comodule under the Galois coaction. Finally, we
compare the results with the periods of primitive log-divergent non-$\phi^4$
graphs up to eight loops and find remarkable differences to $\phi^4$ periods.
Explicit results for all periods we could compute are provided in ancillary
files.
$\phi^4$ graphs up to eleven loops. The structure of $\phi^4$ periods is
described by a series of conjectures. In particular, we discuss the possibility
that $\phi^4$ periods are a comodule under the Galois coaction. Finally, we
compare the results with the periods of primitive log-divergent non-$\phi^4$
graphs up to eight loops and find remarkable differences to $\phi^4$ periods.
Explicit results for all periods we could compute are provided in ancillary
files.
Symplectic ID
610147
Download URL
http://arxiv.org/abs/1603.04289v2
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Publication type
Journal Article
Publication date
02 Oct 2017