The Yang-Lee edge singularity on Feynman diagrams

D. A. Johnston

doi:10.1088/0305-4470/31/26/005

The Yang-Lee edge singularity on Feynman diagrams

D. A. Johnston

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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 s. We consider the hard dimer model on f³ and f⁴ 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.

Original language	English
Pages (from-to)	5641-5649
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	31
Issue number	26
DOIs	https://doi.org/10.1088/0305-4470/31/26/005
Publication status	Published - 3 Jul 1998

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title = "The Yang-Lee edge singularity on Feynman diagrams",

abstract = "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 s. We consider the hard dimer model on f3 and f4 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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N2 - 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 s. We consider the hard dimer model on f3 and f4 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.

AB - 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 s. We consider the hard dimer model on f3 and f4 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.

U2 - 10.1088/0305-4470/31/26/005

DO - 10.1088/0305-4470/31/26/005

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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ER -

The Yang-Lee edge singularity on Feynman diagrams

Abstract

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