On the algebraic quantization of a massive scalar field in antide Sitter spacetime
Abstract
We discuss the algebraic quantization of a real, massive scalar field in the Poincaré patch of the (d + 1)dimensional antide 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, timeslice axiom and Flocality. 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.
 Publication:

Reviews in Mathematical Physics
 Pub Date:
 2018
 DOI:
 10.1142/S0129055X18500046
 arXiv:
 arXiv:1701.07215
 Bibcode:
 2018RvMaP..3050004D
 Keywords:

 Antide Sitter;
 algebraic quantization;
 Hadamard state;
 Mathematical Physics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 81T20;
 81T05
 EPrint:
 24 pages, 3 figures. V2: some extra clarification and discussion in sections 4.1 and 4.4