A proof that no-signalling implies microcausality in quantum field theory

Autor(en)

Antoine Soulas

Abstrakt

We study some logical interrelationships between fundamental properties in (relativistic) quantum theories. An operational no-signalling condition is first introduced in the context of quantum mechanics, where we prove its equivalence to an apparently weaker version restricted to ideal measurements, and to a property of factorization of the evolution unitary operator. We then translate this condition in quantum field theory and prove that it implies both microcausality and the spin-statistics theorem, in the ideal case of pointwise measurements implemented in the projection postulate sense. This provides an argument (often invoked but apparently missing in the literature) to see microcausality as a necessary condition for the compatibility of spacelike separated operations.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Österreichische Akademie der Wissenschaften (ÖAW)

Journal

Foundations of Physics

Band

55

Anzahl der Seiten

21

ISSN

1572-9516

DOI

https://doi.org/10.48550/arXiv.2309.07715

Publikationsdatum

04-2025

Peer-reviewed

Ja

ÖFOS 2012

103024 Quantenfeldtheorie, 103019 Mathematische Physik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/b1f0299c-a07e-4434-bb5c-ac2b71b326d2