On the algebraic quantization of a massive scalar field in anti-de-Sitter spacetime
Mathematical Physics
2017-11-16 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1701.07215,
title = {On the algebraic quantization of a massive scalar field in anti-de-Sitter spacetime},
author = {Claudio Dappiaggi and Hugo R. C. Ferreira},
journal= {arXiv preprint arXiv:1701.07215},
year = {2017}
}
Comments
24 pages, 3 figures. V2: some extra clarification and discussion in sections 4.1 and 4.4