Witten Laplacian Methods for the Decay of Correlations

Details Witten Laplacian Methods for the Decay of Correlations Witten Laplacian Methods for the Decay of Correlations

2006-11-01

arxiv.org/abs/math-ph/0611002v9

Physics

Mathematical Physics

This is part of my final thesis

Scientific paper

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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