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Transfer matrices for scalar fields on curved spaces

Mathematical Physics 2015-06-26 v2 High Energy Physics - Theory Functional Analysis math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/9901003,
  title  = {Transfer matrices for scalar fields on curved spaces},
  author = {E. Prodan},
  journal= {arXiv preprint arXiv:math-ph/9901003},
  year   = {2015}
}

Comments

11 pages, no figure