论文标题
从最小时间订购的产品中的新量化原理
A new quantization principle from a minimally non time-ordered product
论文作者
论文摘要
我们基于最小时间订购的产品为扰动量子场理论制定了一个新的量化原理，并表明它赋予了物理颗粒和纯粹的虚拟颗粒的理论。鉴于经典的拉格朗日，量化像往常一样进行，以时间订购的产品为指导，直至通用的散射矩阵$ s $，该矩阵$ s $满足单位性或伪命名方程。物理散射矩阵$ s _ {\ text {ph}} $是由$ s $构建的，通过将$ s $图将其粘贴到新图中，通过非时序的繁殖器将其粘合到新图中。我们通过此类操作对获得单位性的最一般方法进行分类，并指出一种特殊的解决方案“最小化”了订购时间的违规行为。我们表明，该解决方案给出的散射矩阵$ s _ {\ text {ph}} $与将可能的幽灵（可能是某些可能的物理粒子）变成纯粹的虚拟粒子（假子）而获得的。我们研究以独特的方式下降和上升的技巧，并在几个例子中说明了它们：从气泡到六角形的升链，一个循环；带有对角线的盒子，在两个循环中；其他图，带有更多循环。
We formulate a new quantization principle for perturbative quantum field theory, based on a minimally non time-ordered product, and show that it gives the theories of physical particles and purely virtual particles. Given a classical Lagrangian, the quantization proceeds as usual, guided by the time-ordered product, up to the common scattering matrix $S$, which satisfies a unitarity or a pseudounitarity equation. The physical scattering matrix $S_{\text{ph}}$ is built from $S$, by gluing $S$ diagrams together into new diagrams, through non time-ordered propagators. We classify the most general way to gain unitarity by means of such operations, and point out that a special solution "minimizes" the time-ordering violation. We show that the scattering matrix $S_{\text{ph}}$ given by this solution coincides with the one obtained by turning the would-be ghosts (and possibly some would-be physical particles) into purely virtual particles (fakeons). We study tricks to descend and ascend in a unique way among diagrams, and illustrate them in several examples: the ascending chain from the bubble to the hexagon, at one loop; the box with diagonal, at two loops; other diagrams, with more loops.
