Research output: Contribution to journal › Article

Thomas Joachim Bothner, William Warner

Original language | English |
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Journal | Mathematical Physics, Analysis and Geometry |

Early online date | 12 Dec 2018 |

DOIs | |

Accepted/In press | 21 Nov 2018 |

E-pub ahead of print | 12 Dec 2018 |

Published | Dec 2018 |

**Short Distance Asymptotics_BOTHNER_Accepted 21 Nov 18-GOLD_VoR_CC-BY**Short_Distance_Asymptotics_BOTHNER_Accepted_21_Nov_18_GOLD_VoR_CC_BY.pdf, 1.25 MB, application/pdf

Uploaded date:13 Dec 2018

Version:Final published version

Licence:CC BY

In the 1977 paper of McCoy et al. (J. Math. Phys. 18, 1058–1092, 1977) it was shown that the limiting two-point correlation function in the two-dimensional Ising model is related to a second order nonlinear Painlevé function. This result identified the scaling function as a tau-function and the corresponding connection problem was solved by Tracy (Commun. Math. Phys. 142, 297–311, 1991), see also the works by Tracy and Widom (Commun. Math. Phys. 190, 697–721, 1998). Here we present the solution to a certain generalized version of the above connection problem which is obtained through a refinement of the techniques chosen in Bothner (J. Stat. Phys. 170, 672–683, 2018).

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