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Quantum fields and poisson processes II: Interaction of boson-boson and boson-fermion fields with a cut-off |
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| Authors: | J. Bertrand B. Gaveau G. Rideau |
| Affiliation: | (1) Laboratoire de Physique Théorique et Mathématique, Université Paris VII, Tour 33-43, ler étage, 2 place Jussieu, 75251 Paris Cedex 05, France;(2) Département de Mathématiques, Université Paris VI, Tour 45-46, 5e étage, 4 place Jussieu, 75230 Paris Cedex 05, France |
| 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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