Transfer matrices for scalar fields on curved spaces

Details Transfer matrices for scalar fields on curved spaces Transfer matrices for scalar fields on curved spaces

1999-01-12

arxiv.org/abs/math-ph/9901003v2

J.Math.Phys. 40 (1999) 1400-1405

Physics

Mathematical Physics

11 pages, no figure

Scientific paper

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.

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