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Asymptotics of a τ-function arising in the two-dimensional Ising model

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Abstract

The short-distance assymptotics of the τ-function associated to the 2-point function of the two-dimensional Ising model is computed as a function of the integration constant defined from the long-distance behavior of the τ-function. The result is expressible in terms of the Barnes double gamma function (equivalently, the BarnesG-function).

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Authors and Affiliations

  1. Department of Mathematics and Institute of Theoretical Dynamics, University of California, 95616, Davis, CA, USA

    Craig A. Tracy

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  1. Craig A. Tracy
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Additional information

Communicated by M. E. Fisher

Supported in part by the National Science Foundation, Grant No. DMS-90-01794

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Tracy, C.A. Asymptotics of a τ-function arising in the two-dimensional Ising model. Commun.Math. Phys. 142, 297–311 (1991). https://doi.org/10.1007/BF02102065

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  • DOI: https://doi.org/10.1007/BF02102065

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