Skip to main content

Research Repository

Advanced Search

Working directly with probabilities in quantum field theory

Dickinson, Robert; Forshaw, Jeff; Millington, Peter


Robert Dickinson

Jeff Forshaw

Peter Millington


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.


Dickinson, R., Forshaw, J., & Millington, P. (2017). Working directly with probabilities in quantum field theory. Journal of Physics: Conference Series, 880(1), Article 012041.

Journal Article Type Article
Conference Name 8th International Workshop DICE2016: Spacetime - Matter - Quantum Mechanics
End Date Sep 16, 2016
Acceptance Date Aug 9, 2017
Publication Date Aug 21, 2017
Deposit Date Nov 2, 2017
Publicly Available Date Nov 2, 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
Public URL
Publisher URL
Additional Information Conference paper presented at 8th International Conference DICE2016 "Spacetime - Matter - Quantum Mechanics" 12-16 Sept 2016, Castiglioncello, Tuscany, Italy


Quantum field pdf.pdf (327 Kb)

Copyright Statement
Copyright information regarding this work can be found at the following address:

You might also like

Downloadable Citations