标题： 辛量子化 I：相对论场理论中量子涨落的动力学 显示英文标题

标题： Symplectic quantization I: dynamics of quantum fluctuations in a relativistic field theory

摘要： 我们在这里提出一种新的辛量子化方案，其中标量场理论的量子涨落源于两个主要假设：相对论不变性和具有相同作用量值的场构型的等概率性。 在这种方法中，随机量子化中的虚构时间成为相对于相对论坐标时间的真实附加时间变量。 这个固有时与作用量空间中的辛演化相关联，这使得不仅可以研究理论的渐近即平衡性质，还可以研究其非平衡瞬态演化。 本文是两篇系列论文的第一篇，我们介绍了一种形式主义，该形式主义将在配套工作“辛量子化 II”中应用于广义相对论。 显示英文摘要

摘要： We propose here a new symplectic quantization scheme, where quantum fluctuations of a scalar field theory stem from two main assumptions: relativistic invariance and equiprobability of the field configurations with identical value of the action. In this approach the fictitious time of stochastic quantization becomes a genuine additional time variable, with respect to the coordinate time of relativity. This proper time is associated to a symplectic evolution in the action space, which allows one to investigate not only asymptotic, i.e. equilibrium, properties of the theory, but also its non-equilibrium transient evolution. In this paper, which is the first one in a series of two, we introduce a formalism which will be applied to general relativity in the companion work "Symplectic quantization II".