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New Results for the Correlation Functions of the Ising Model and the Transverse Ising Chain

Perk, Jacques; Perk (Au-Yang), Helen


In this paper we show how an infinite system of coupled Toda-type nonlinear differential equations derived by one of us can be used efficiently to calculate the time-dependent pair-correlations in the Ising chain in a transverse field. The results are seen to match extremely well long large-time asymptotic expansions newly derived here. For our initial conditions we use new long asymptotic expansions for the equal-time pair correlation functions of the transverse Ising chain, extending an old...[Show more]

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: Journal of Statistical Physics
DOI: 10.1007/s10955-009-9758-5


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