Construction of Hadamard states by pseudo-differential calculus

DOI10.1007/S00220-013-1824-9zbMATH Open1298.81214arXiv1209.2604OpenAlexW3104295029MaRDI QIDQ393720

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Publication date: 24 January 2014

Published in: (Search for Journal in Brave)

Abstract: We give a new construction based on pseudo-differential calculus of quasi-free Hadamard states for Klein-Gordon equations on a class of space-times whose metric is well-behaved at spatial infinity. In particular we construct all pure Hadamard states and study their covariance under symplectic transformations. Using our results we give a new construction of Hadamard states on arbitrary globally hyperbolic space-times.

Full work available at URL: https://arxiv.org/abs/1209.2604

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