Toward a finite-dimensional formulation of Quantum Field Theory

Details Toward a finite-dimensional formulation of Quantum Field Theory Toward a finite-dimensional formulation of Quantum Field Theory

1998-05-04

arxiv.org/abs/quant-ph/9805010v1

Found.Phys.Lett. 11 (1998) 585-593

Physics

Quantum Physics

Latex file, 12 pages

Scientific paper

Rules of quantization and equations of motion for a finite-dimensional formulation of Quantum Field Theory are proposed which fulfill the following properties: a) both the rules of quantization and the equations of motion are covariant; b) the equations of evolution are second order in derivatives and first order in derivatives of the space-time co-ordinates; and c) these rules of quantization and equations of motion lead to the usual (canonical) rules of quantization and the (Schr\"odinger) equation of motion of Quantum Mechanics in the particular case of mechanical systems. We also comment briefly on further steps to fully develop a satisfactory quantum field theory and the difficuties which may be encountered when doing so.

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