2017/01/31 by Claudio Dappiaggi, Hugo R. C. Ferreira · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebraic number #Anti-de Sitter space #De Sitter universe #Holomorphic and Operator Theory #Observable #Quantization (signal processing) #Scalar (mathematics) #Scalar field #Scalar field theory #Spacetime #gr-qc #hep-th #math-ph #math.MP #msc:81T05 #msc:81T20
paper · pdf · doi:10.1142/s0129055x18500046
24 pages, 3 figures. V2: some extra clarification and discussion in sections 4.1 and 4.4
openalex created_date 2017/02/03 · arxiv created 2017/02/16 · openalex publication_date 2017/11/03 · arxiv updated 2017/11/16 · openalex updated_date 2026/08/05
We discuss the algebraic quantization of a real, massive scalar field in the Poincaré patch of the [Formula: see text]-dimensional anti-de Sitter spacetime, with arbitrary boundary conditions. By using the functional formalism, we show that it is always possible to associate to such system an algebra of observables enjoying the standard properties of causality, time-slice axiom and F-locality. In addition, we characterize the wavefront set of the ground state associated to the system under investigation. As a consequence, we are able to generalize the definition of Hadamard states and construct a global algebra of Wick polynomials.