论文标题
在Wightman框架中表征相互作用理论的标准
A criterion to characterize interacting theories in the Wightman framework
论文作者
论文摘要
我们提出了一个标准，以在相对论量子场理论的合适的Wightman框架中表征相互作用的理论，该理论结合了一种“奇异性假设”，该理论已被猜想了很长时间，它得到了重新分配群体理论的支持，但从未被数学上形成。这些理论中发生的（非扰动）波函数重新归一化$ z $不一定等于零，除非假定相等的换向关系（ETCR）。由于ETCR一般没有合理的理由（因为从模型研究中知道的是，相互作用的场不限于尖锐时代），因此条件$ z = 0 $在相互作用的理论中并不具有一般有效性。我们猜想它表征了不稳定的（复合）颗粒或电荷载体颗粒，这些颗粒在存在无质量颗粒的情况下变成了碎片。在QED的情况下，预计这种“穿着”的电子不会被限制，但是在QCD中，我们提出了一个夸克禁闭标准，该标准自然而然地遵循Casher，Kogut和Susskind，Susskind，Lowenstein和Swieca的作品所建议的线条。
We propose a criterion to characterize interacting theories in a suitable Wightman framework of relativistic quantum field theories which incorporates a "singularity hypothesis", which has been conjectured for a long time, is supported by renormalization group theory, but has never been formulated mathematically. The (nonperturbative) wave function renormalization $Z$ occurring in these theories is shown not to be necessarily equal to zero, except if the equal time commutation relations (ETCR) are assumed. Since the ETCR are not justified in general (because the interacting fields cannot in general be restricted to sharp times, as is known from model studies), the condition $Z=0$ is not of general validity in interacting theories. We conjecture that it characterizes either unstable (composite) particles or the charge-carrying particles, which become infraparticles in the presence of massless particles. In the case of QED, such "dressed" electrons are not expected to be confined, but in QCD we propose a quark confinement criterion, which follows naturally from lines suggested by the works of Casher, Kogut and Susskind and Lowenstein and Swieca.
