• Corpus ID: 237504151

# Paracausal deformations of Lorentzian metrics and M{\o}ller isomorphisms in algebraic quantum field theory

@inproceedings{Moretti2021ParacausalDO,
title={Paracausal deformations of Lorentzian metrics and M\{\o\}ller isomorphisms in algebraic quantum field theory},
author={Valter Moretti and Simone Murro and Daniele Volpe},
year={2021}
}
• Published 14 September 2021
• Mathematics
Given a pair of normally hyperbolic operators over (possibily different) globally hyperbolic spacetimes on a given smooth manifold, the existence of a geometric isomorphism, called Møller operator, between the space of solutions is studied. This is achieved by exploiting a new equivalence relation in the space of globally hyperbolic metrics, called paracausal relation. In particular, it is shown that the Møller operator associated to a pair of paracausally related metrics and normally…

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