Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature
The authors study the correlation function of lattice field theory by means of Witten's deformed Laplacian [see also \textit{J. Sjöstrand}, St. Petersbg. Math. J. 8, 123-147 (1997; Zbl 0877.35084)]. For sufficiently low temperature one derives an estimate for the spectral gap of a certain Witten Laplacian, one proves exponential decay of the two-point correlation function and one derives its asymptotics as the distance between spin sites becomes large.
scientific article; zbMATH DE number 1533502
scientific article