Transfer matrices for scalar fields on curved spaces
arXiv:math-ph/9901003 · doi:10.1063/1.532810
Abstract
We apply Nelson's technique of constructing Euclidean fields to the case of classical scalar fields on curved spaces. It is shown how to construct a transfer matrix and, for a class of metrics, the basic spectral properties of its generator are investigated. An application concerning decoupling of non-convex disjoint region is given.
11 pages, no figure