Abstract
Quantum field evolutions are written as expectation values with respect to Poisson processes in two simple models: interaction of two boson fields (with conservation of the number of particles in one field) and interaction of a boson with a fermion field. The introduction of a cut-off ensures that the expectation values are well-defined.
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Bertrand, J., Gaveau, B. & Rideau, G. Quantum fields and poisson processes II: Interaction of boson-boson and boson-fermion fields with a cut-off. Lett Math Phys 9, 353–362 (1985). https://doi.org/10.1007/BF00397761
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DOI: https://doi.org/10.1007/BF00397761