English

Correlation asymptotics for non-translation invariant lattice spin systems

Mathematical Physics 2010-10-11 v2 math.MP

Abstract

We obtain asymptotic expressions for the Green kernels of certain non-translation invariant transition matrices using methods of semiclassical and microlocal analysis. Combined with a result by Bach and M{\o}ller this yields asymptotic formulas for the truncated two-point correlation functions of certain non-translation invariant lattice models of real-valued spins.

Keywords

Cite

@article{arxiv.math-ph/0609062,
  title  = {Correlation asymptotics for non-translation invariant lattice spin systems},
  author = {Oliver Matte},
  journal= {arXiv preprint arXiv:math-ph/0609062},
  year   = {2010}
}