Principles of Discrete Time Mechanics: III. Quantum Field Theory

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dc.creatorNorton, Keith
dc.creatorJaroszkiewicz, George
dc.date1997-07-02
dc.date1998-01-20
dc.date.accessioned2026-07-07T10:58:54Z
dc.date.available2026-07-07T10:58:54Z
dc.descriptionWe apply the principles discussed in earlier papers to the construction of discrete time quantum field theories. We use the Schwinger action principle to find the discrete time free field commutators for scalar fields, which allows us to set up the reduction formalism for discrete time scattering processes. Then we derive the discrete time analogue of the Feynman rules for a scalar field with a cubic self interaction and give examples of discrete time scattering amplitude calculations. We find overall conservation of total linear momentum and overall conservation of total theta parameters, which is the discrete time analogue of energy conservation and corresponds to the existence of a Logan invariant for the system. We find that temporal discretisation leads to softened vertex factors, modifies propagators and gives a natural cutoff for physical particle momenta.
dc.description29 pages LateX+5 figures, published version with discussion of discretisation frame
dc.identifierhttps://arxiv.org/abs/hep-th/9707029
dc.identifierhttp://arxiv.org/abs/hep-th/9707029
dc.identifierJ.Phys.A31:977-1000,1998
dc.identifierdoi:10.1088/0305-4470/31/3/011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187265
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titlePrinciples of Discrete Time Mechanics: III. Quantum Field Theory
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