Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-07-02
J.Phys.A31:977-1000,1998
Physics
High Energy Physics
High Energy Physics - Theory
29 pages LateX+5 figures, published version with discussion of discretisation frame
Scientific paper
10.1088/0305-4470/31/3/011
We 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.
Jaroszkiewicz George
Norton Keith
No associations
LandOfFree
Principles of Discrete Time Mechanics: III. Quantum Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Principles of Discrete Time Mechanics: III. Quantum Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Principles of Discrete Time Mechanics: III. Quantum Field Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-162870