四维时空中场方程表述形式的推导方法

摘要

场方程的推导在量子场论中占有很重要的地位.鉴于在大多数理论物理教程中都是仅仅给出场方程的形式,而鲜有得出场方程的具体推导过程.从物质场的作用量S(其中拉格朗日函数具有对称性)和四维平直时空、四维弯曲时空的度规出发,应用变分原理及数学知识,分别给出了四维平直时空和四维弯曲时空中物质场场方程的具体推导过程,供广大理论物理学习者和爱好者参考.%We know that deducing the field equation is important in the quantum field theory. It is commonly given out the form of the field equation only without the deducing process, but the author introduced a method of deducing the field equation from the actuating quantity and four-dimensional flat space-time, four-dimensional curve space-time, for the guidance to the learner and the enthusiast of the theoretical physics.