Witten Laplacian Methods for the Decay of Correlations
Mathematical Physics
2007-05-23 v9 math.MP
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.
Cite
@article{arxiv.math-ph/0611002,
title = {Witten Laplacian Methods for the Decay of Correlations},
author = {Assane Lo},
journal= {arXiv preprint arXiv:math-ph/0611002},
year = {2007}
}
Comments
This is part of my final thesis