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Working directly with probabilities in quantum field theory

Dickinson, Robert; Forshaw, Jeff; Millington, Peter

Authors

Robert Dickinson

Jeff Forshaw

Peter Millington



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.

Journal Article Type Article
Publication Date Aug 21, 2017
Journal Journal of Physics: Conference Series
Print ISSN 1742-6588
Electronic ISSN 1742-6596
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 880
Issue 1
Article Number 012041
APA6 Citation Dickinson, R., Forshaw, J., & Millington, P. (2017). Working directly with probabilities in quantum field theory. Journal of Physics: Conference Series, 880(1), https://doi.org/10.1088/1742-6596/880/1/012041
DOI https://doi.org/10.1088/1742-6596/880/1/012041
Publisher URL https://doi.org/10.1088/1742-6596/880/1/012041
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0
Additional Information Conference paper presented at 8th International Conference DICE2016 "Spacetime - Matter - Quantum Mechanics" 12-16 Sept 2016, Castiglioncello, Tuscany, Italy

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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