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Title

SOME REMARKS ON NON-PLANAR FEYNMAN DIAGRAMS
Authors

Krzysztof Bielas
Organization: Institute of Physics, University of Silesia
Ievgen Dubovyk
Organization: Institute of Physics, University of Silesia
Janusz Gluza
Organization: Institute of Physics, University of Silesia
Tord Riemann
Organization: Deutsches Elektronen-Synchrotron, DESY
Journal / Anthology

ACTA PHYSICA POLONICA B
Year: 2013
Volume: 44
Issue: 11
Page range: 2249-2255
Description

Two criteria for planarity of a Feynman diagram upon its propagators (momentum flows) are presented. Instructive Mathematica programs that solve the problem and examples are provided. A simple geometric argument is used to show that while one can planarize non-planar graphs by embedding them on higher-genus surfaces (in the example it is a torus), there is still a problem with defining appropriate dual variables since the corresponding faces of the graph are absorbed by torus generators.
Subject

*Science > Physics


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