量子场论的有限维表述
Toward a finite-dimensional formulation of Quantum Field Theory
摘要：
本文提出了有限维量子场论的量子化规则和运动方程，它们满足下列性质：（a）量子化规则和运动方程都是协变的，（b）演化方程是时空坐标的二阶导数和一阶导数，（c）量子化规则和运动方程是时空坐标的二阶导数和一阶导数。c）这些量子化规则和运动方程在力学系统的特殊情况下导致了通常的（正则）量子化规则和量子力学的（薛定谔）运动方程。我们还简要地评论了进一步的步骤，充分发展一个令人满意的量子场论和困难时，可能会遇到这样做。
英文摘要：
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 (Schrödinger) 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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