 03184 M. Campanino, D. Ioffe and Y. Velenik
 Random path representation and sharp correlations asymptotics at hightemperatures
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Apr 23, 03

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Abstract. We recently introduced a robust approach to the derivation of sharp asymptotic formula for correlation functions of statistical mechanics models in the hightemperature regime. We describe its application to the nonperturbative proof of OrnsteinZernike asymptotics of 2point functions for selfavoiding walks, Bernoulli percolation and ferromagnetic Ising models. We then extend the proof, in the Ising case, to arbitrary oddodd correlation functions. We discuss the fluctuations of connection paths (invariance principle), and relate the variance of the limiting process to the geometry of the equidecay profiles. Finally, we explain the relation between these results from Statistical Mechanics and their counterparts in Quantum Field Theory.
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