On the algebraic quantization of a massive scalar field in anti-de Sitter spacetime-Reference-Cited by-同舟云学术

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

Published:2018-02 Issue:02 Volume:30 Page:1850004
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

Dappiaggi Claudio¹²,Ferreira Hugo R. C.²^ORCID

Affiliation:

1. Dipartimento di Fisica, Università Degli Studi di Pavia, Via Bassi, 6, I-27100 Pavia, Italy

2. Istituto Nazionale di Fisica Nucleare – Sezione di Pavia, Via Bassi, 6, I-27100 Pavia, Italy

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X18500046

Reference28 articles.

1. Vector two-point functions in maximally symmetric spaces

2. Gauge/Gravity Duality

3. Quantum field theory in anti-de Sitter space-time

4. Green-Hyperbolic Operators on Globally Hyperbolic Spacetimes

5. Quantum Field Theory on Curved Spacetimes

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