Preprint
English

Sharp Asymptotics for the Truncated Two-Point Function of the Ising Model with a Positive Field

ContributorsOtt, Sébastien
Publication date2019
Abstract

We prove that the correction to exponential decay of the truncated two points function in the homogeneous positive field Ising model is $c|x|^{-(d-1)/2}$. The proof is based on the development in the random current representation of a "modern" Ornstein-Zernike theory, as developed by Campanino, Ioffe and Velenik.

Classification
  • arxiv : math-ph
Citation (ISO format)
OTT, Sébastien. Sharp Asymptotics for the Truncated Two-Point Function of the Ising Model with a Positive Field. 2019.
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Creation27/06/2019 09:48:00
First validation27/06/2019 09:48:00
Update15/03/2023 17:44:58
Status update15/03/2023 17:44:58
Last indexation31/10/2024 13:45:44
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