论文标题
部分可观测时空混沌系统的无模型预测
Purely virtual extension of quantum field theory for gauge invariant fields: Yang-Mills theory
论文作者
论文摘要
我们通过包括纯虚拟的“云”扇区来扩展量子场理论，以定义规格不变夸克和Gluon场的物理外壳相关函数，而不会影响$ s $矩阵振幅。该扩展是由某些云玻色子制成的，以及他们的抗议合作伙伴。两者都被量化为纯虚拟的，以确保它们不会传播鬼魂。扩展的理论是可统一的和统一的。特别是，光学定理的脱壳，图形版本。我们计算着穿着夸克和胶子的单循环两点函数，并表明它们的吸收性部位是独立的，云独立的和正（如果云扇区不纯粹是虚拟的，则它们是毫无态的）。规格/云二元性简化了计算，并表明量规选择只是特定的云。可以用不同的云打扮每个场插入。我们将纯虚拟扩展与以前解决类似问题的方法进行了比较。
We extend quantum field theory by including purely virtual "cloud" sectors, to define physical off-shell correlation functions of gauge invariant quark and gluon fields, without affecting the $S$ matrix amplitudes. The extension is made of certain cloud bosons, plus their anticommuting partners. Both are quantized as purely virtual, to ensure that they do not propagate ghosts. The extended theory is renormalizable and unitary. In particular, the off-shell, diagrammatic version of the optical theorem holds. We calculate the one-loop two-point functions of dressed quarks and gluons, and show that their absorptive parts are gauge independent, cloud independent and positive (while they are generically unphysical if the cloud sectors are not purely virtual). A gauge/cloud duality simplifies the computations and shows that the gauge choice is just a particular cloud. It is possible to dress every field insertion with a different cloud. We compare the purely virtual extension to previous approaches to similar problems.
