test of planarity

Testing planarity of Feynman diagrams
K. Bielas, I. Dubovyk, J. Gluza, T. Riemann

A package which identifies planarity of Feynman diagrams by momenta flows in propagators.
This is a part of the AMBRE project.
Related publication: Acta Physica Polonica B44 (2013) 11, 2249 (arXiv:1312.5603.)

The package

PlanarityTestv1.2.1.m (version 1.2.1, a bug fixed connected with tadpoles attached to lines)

PlanarityTestv1.2.m (version 1.2, a bug fixed for one-loop self-energy diagrams)

PlanarityTestv1.1.m (version 1.1, internal and external momenta now can be arbitrary symbols)

PlanarityTest.m (version 1.0)
Examples: examples.nb (examples.nb.pdf)
Examples created using Mathematica version 8.0, see remarks below.

The package (examples) works with:

AMBREv1.2 and newer

Mathematica 8.0 (a bug in PlotGraph function in Mathematica 9, reported to Wolfram, corrected),
compare math8_GraphPlot.nb (math8_GraphPlot.nb.pdf ) and math9_GraphPlot.nb (math9_GraphPlot.nb.pdf)

Testing planarity of Feynman diagrams K. Bielas, I. Dubovyk, J. Gluza, T. Riemann

Testing planarity of Feynman diagrams
K. Bielas, I. Dubovyk, J. Gluza, T. Riemann