Witten Laplacian Methods for the Decay of Correlations

2006/11/01 by Assane Lo, Lo, Assane
Mathematics · Physics and Astronomy · #35J10 #35J15 #82B26 #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.MP #msc:35J10 #msc:35J15 #msc:82B26

paper · pdf · doi:10.48550/arxiv.math-ph/0611002

This is part of my final thesis

openalex publication_date 2006/11/01 · arxiv created 2007/03/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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