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A well-recognised open conceptual problem in relativistic quantum field theory concerns the relation between measurement and causality.
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N. Drago and V. Moretti, The notion of observable and the moment problem for ∗ \ast -algebras and their GNS representations, Lett. Math. Phys. 110
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A. Pozas-Kerstjens and E. Martín-Martínez, Harvesting correlations from the quantum vacuum, Phys. Rev. D 92
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The stated Haag property could be strengthened to incorporate all (possibly disconnected) regions L L containing K K . However it might then conflict with a further desirable property called additivity , see p. 146 in [ 9 ]
Cited in the paper.
D. Buchholz and K. Fredenhagen, A C ∗ \rm C^{*} -algebraic approach to interacting quantum field theories, Comm. Math. Phys. 377
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