Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Challenges for Extensions of the Process Matrix Formalism to Quantum Field Theory

Version 1 : Received: 14 October 2023 / Approved: 16 October 2023 / Online: 17 October 2023 (08:02:16 CEST)

How to cite: Paunković, N.; Vojinović, M. Challenges for Extensions of the Process Matrix Formalism to Quantum Field Theory. Preprints 2023, 2023100972. https://doi.org/10.20944/preprints202310.0972.v1 Paunković, N.; Vojinović, M. Challenges for Extensions of the Process Matrix Formalism to Quantum Field Theory. Preprints 2023, 2023100972. https://doi.org/10.20944/preprints202310.0972.v1

Abstract

We discuss the issues with tentative generalisations of the process matrix formalism from finite-dimensional mechanical systems all the way to quantum field theory. We present a detailed overview of possible open problems that arise when one attempts to move from particle ontology into the realm of field ontology, i.e., when one transitions from mechanics to field theory framework. These issues need to be addressed, and problems solved, if one aims to expand the scope of applicability of the process matrix formalism, and therefore its usefulness. This is far from a trivial and straightforward endeavour, but rather a task for a whole future research programme.

Keywords

process matrices; quantum field theory; beta decay

Subject

Physical Sciences, Quantum Science and Technology

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