2013/04/23 by Ratnarajan Hoole, Hoole, Ratnarajan, Arthur Jaffe +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1304.6138
8 pages
arxiv created 2013/05/03 · arxiv updated 2013/05/07
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.