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Witten Laplacian Method for The Decay of Correlations

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Abstract

The aim of this paper is to apply direct methods to the study of integrals that appear naturally in Statistical Mechanics and Euclidean Field Theory. We provide weighted estimates leading to the exponential decay of the two-point correlation functions for certain classical convex unbounded models. The methods involve the study of the solutions of the Witten Laplacian equations associated with the Hamiltonian of the system.

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  1. King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

    Assane Lo

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  1. Assane Lo
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Correspondence to Assane Lo.

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Lo, A. Witten Laplacian Method for The Decay of Correlations. J Stat Phys 132, 355–396 (2008). https://doi.org/10.1007/s10955-008-9547-6

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  • DOI: https://doi.org/10.1007/s10955-008-9547-6

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