The Yang Lee Edge Singularity on Feynman Diagrams

Details The Yang Lee Edge Singularity on Feynman Diagrams The Yang Lee Edge Singularity on Feynman Diagrams

1998-01-21

arxiv.org/abs/hep-lat/9801026v1

J.Phys.A31:5641-5650,1998

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 6 pages + 3 figures

Scientific paper

10.1088/0305-4470/31/26/005

We investigate the Yang-Lee edge singularity on non-planar random graphs, which we consider as the Feynman Diagrams of various d=0 field theories, in order to determine the value of the edge exponent. We consider the hard dimer model on phi3 and phi4 random graphs to test the universality of the exponent with respect to coordination number, and the Ising model in an external field to test its temperature independence. The results here for generic (``thin'') random graphs provide an interesting counterpoint to the discussion by Staudacher of these models on planar random graphs.

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