# On the algebraic quantization of a massive scalar field in anti-de-Sitter spacetime

January 25, 2017

We discuss the algebraic quantization of a real, massive scalar field in the
Poincar\'e patch of the (d+1)-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.

open access link
doi:10.1142/S0129055X18500046

@article{Dappiaggi:2017wvj,
author = "Dappiaggi, Claudio and Ferreira, Hugo R. C.",
title = "{On the algebraic quantization of a massive scalar field
in anti-de-Sitter spacetime}",
journal = "Rev. Math. Phys.",
volume = "30",
year = "2017",
number = "02",
pages = "1850004",
doi = "10.1142/S0129055X18500046",
note = "[Rev. Math. Phys.30,0004(2018)]",
eprint = "1701.07215",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:1701.07215;%%"
}

Keywords:

*none*