Origin of the banana graph - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T10:56:13Z http://mathoverflow.net/feeds/question/111737 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/111737/origin-of-the-banana-graph Origin of the banana graph Xander Faber 2012-11-07T16:06:28Z 2012-11-08T08:15:54Z <p>The graph with two vertices and $n > 1$ edges connecting them has been called the "banana graph" in a number of papers. For one example, see "Feynman Motives of Banana Graphs" by Aluffi and Marcoli, <i>Comm. in Number Theory and Physics</i> (2009) 1-57. (The short title of this paper is "Banana Motives", which I find endlessly entertaining.)</p> <p>Does anyone know who coined the term "banana graph"? </p> http://mathoverflow.net/questions/111737/origin-of-the-banana-graph/111753#111753 Answer by Carlo Beenakker for Origin of the banana graph Carlo Beenakker 2012-11-07T20:56:23Z 2012-11-08T08:15:54Z <p><IMG SRC="http://ilorentz.org/beenakker/MO/banana.png"></p> <p>These diagrams come by different names: "banana", "water melon", "basket ball". An early reference is M. Creutz, Rev. Mod. Phys. 50, 561–571 (1978). A more recent reference is <A HREF="http://arxiv.org/abs/hep-ph/9806402" rel="nofollow">S. Groote, J.G. Körner, A.A. Pivovarov</A> (1998).</p> <p>There is a long tradition of giving fancyful names to Feynman diagrams. This is the sunset diagram:</p> <p><IMG SRC="http://ilorentz.org/beenakker/MO/sunset.png"></p>