Path Integrals on Euclidean Space Forms
Mathematical Physics
2015-09-07 v2 math.MP
Abstract
In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space. A definition of the Feynman propagator, based on the reproducing property of this space, is proposed. In the case the obtained results coincide with the known expressions.
Keywords
Cite
@article{arxiv.1507.02201,
title = {Path Integrals on Euclidean Space Forms},
author = {Guillermo Capobianco and Walter Reartes},
journal= {arXiv preprint arXiv:1507.02201},
year = {2015}
}