Working directly with probabilities in quantum field theory

Dickinson, Robert and Forshaw, Jeff and Millington, Peter (2017) Working directly with probabilities in quantum field theory. Journal of Physics: Conference Series, 880 (1). 012041/1-012041/8. ISSN 1742-6596

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Abstract

We present a novel approach to computing transition probabilities in quantum field theory, which allows them to be written directly in terms of expectation values of nested commutators and anti-commutators of field operators, rather than squared matrix elements. We show that this leads to a diagrammatic expansion in which the retarded propagator plays a dominant role. As a result, one is able to see clearly how faster-than-light signalling is prevented between sources and detectors. Finally, we comment on potential implications of this approach for dealing with infra-red divergences.

Item Type: Article
Additional Information: Conference paper presented at 8th International Conference DICE2016 "Spacetime - Matter - Quantum Mechanics" 12-16 Sept 2016, Castiglioncello, Tuscany, Italy
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: 10.1088/1742-6596/880/1/012041
Depositing User: Millington, Peter
Date Deposited: 02 Nov 2017 13:25
Last Modified: 03 Nov 2017 11:20
URI: http://eprints.nottingham.ac.uk/id/eprint/47785

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