Quantization Domains
Mathematical Physics
2013-05-07 v2 math.MP
Abstract
We study the quantization of certain classical field theories using reflection positivity. We give elementary conditions that ensure the resulting vacuum state is cyclic for products of quantum field operators, localized in a bounded Euclidean space-time region O at positive time. We call such a domain a quantization domain for the classical field. The fact that bounded regions are quantization domains in classical field theory is similar to the "Reeh-Schlieder" property in axiomatic quantum field theory.
Cite
@article{arxiv.1304.6138,
title = {Quantization Domains},
author = {Ratnarajan Hoole and Arthur Jaffe and Christian Jäkel},
journal= {arXiv preprint arXiv:1304.6138},
year = {2013}
}
Comments
8 pages