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Towards a Direct Method for the Analyticity of the Pressure for Certain Classical Unbounded Spin Systems

Mathematical Physics 2007-05-23 v7 math.MP

Abstract

The aim of this paper is to study direct methods for the analyticity of the pressure for certain classical unbounded spin models. We provide a representation in terms of the Witten Laplacian on one-forms of the nth-derivative of the pressure as function of some order parameter t . The technique involves the formula for the covariance of two functions introduced by B. Helffer and J. Sjostrand.

Keywords

Cite

@article{arxiv.math-ph/0611004,
  title  = {Towards a Direct Method for the Analyticity of the Pressure for Certain Classical Unbounded Spin Systems},
  author = {Assane Lo},
  journal= {arXiv preprint arXiv:math-ph/0611004},
  year   = {2007}
}