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arXiv · 1701.07215

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

Claudio Dappiaggi·Hugo R. C. Ferreira
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Abstract

We discuss the algebraic quantization of a real, massive scalar field in the Poincaré 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.

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Claudio Dappiaggi, Hugo R. C. Ferreira. 2017-02-16. On the algebraic quantization of a massive scalar field in anti-de-Sitter spacetime. https://doi.org/10.1142/s0129055x18500046

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