标题： 拉格朗日量子场论中的图片和运动方程 显示英文标题

标题： Pictures and equations of motion in Lagrangian quantum field theory

摘要： 在拉格朗日（正则）量子场论中，考虑了海森堡绘景、相互作用绘景和薛定谔绘景的运动形式。 推导出了任意以场算符及其一阶导数为多项式或收敛幂级数的拉格朗日量的状态矢量和场算符的动力学方程。 建立了不同含时绘景运动形式之间的普遍联系。 指出所有这些绘景都允许与相互作用绘景类似的协变表述。 提出了一种新的绘景，称为动量绘景。 它是量子力学中薛定谔绘景的四维类比，因为在其中状态矢量是时空相关的，而场算符相对于时空是常数。 推导并部分讨论了动量绘景中的运动方程。 特别是，场算符的运动方程变为代数类型。 介绍了协变运动绘景的一般思想。 推导了这些绘景中的运动方程。 显示英文摘要

摘要： The Heisenberg, interaction, and Schr\"odinger pictures of motion are considered in Lagrangian (canonical) quantum field theory. The equations of motion (for state vectors and field operators) are derived for arbitrary Lagrangians which are polynomial or convergent power series in field operators and their first derivatives. The general links between different time-dependent pictures of motion are derived. It is pointed that all of them admit covariant formulation, similar to the one of interaction picture. A new picture, called the momentum picture, is proposed. It is a 4-dimensional analogue of the Schr\"odinger picture of quantum mechanics as in it the state vectors are spacetime-dependent, while the field operators are constant relative to the spacetime. The equations of motion in momentum picture are derived and partially discussed. In particular, the ones for the field operators turn to be of algebraic type. The general idea of covariant pictures of motion is presented. The equations of motion in these pictures are derived.