Witten Laplacian Method for The Decay of Correlations |
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Authors: | Assane Lo |
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Institution: | (1) King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia |
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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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Keywords: | Witten Laplacians Statistical mechanics correlations Exponential decay |
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