论文标题
与幽灵对的量子场理论
Quantum field theory with ghost pairs
论文作者
论文摘要
我们明确表明，只有复杂的共轭鬼魂和正常的真实粒子在环路扩展中的任何扰动顺序上都是单一的。此处提供的证明依赖于将纯粹虚拟路径变形所产生的复杂路径上的循环能量整合在一起，当时外部能量从虚构到真实值继续进行。与非本地理论的情况相反，在此中首先提出了相同的整合路径，因为这里研究的理论类别不是分析性的，但是当成对存在复杂的幽灵时，结果理论是统一的且独特的。作为一种明确的应用，如果我们从理论的频谱中排除了复杂的鬼魂，则一类特殊的高衍生性超级超级质量或有限的引力和规格理论在任何扰动顺序上都是统一的，因为通常接受Becchi-Rouet-stora-stora-tyutin（BRST）ghotsss。最后，我们提出了量子杨米尔斯理论中的受限脾气和局部高衍生理论中的古典复合对之间的类比。根据这种解释，复杂的鬼魂不会出现在千渐进状态下，因为限制在自然而然地命名“幽灵球”。
We explicitly show that general local higher-derivative theories with only complex conjugate ghosts and normal real particles are unitary at any perturbative order in the loop expansion. The proof presented here relies on integrating the loop energies on complex paths resulting from the deformation of the purely imaginary paths, when the external energies are continued from imaginary to real values. Contrary to the case of nonlocal theories, where the same integration path was first proposed, for the classes of theories studied here the same procedure is not analytic, but the resulting theory is unitary and unique when the complex ghosts are present in pairs. As an explicit application, a special class of higher-derivative super-renormalizable or finite gravitational and gauge theories turns out to be unitary at any perturbative order if we exclude the complex ghosts from the spectrum of the theory, as it is normally accepted for Becchi-Rouet-Stora-Tyutin (BRST) ghosts. Finally, we propose an analogy between confined gluons in quantum Yang-Mills theory and classical complex pairs in local higher-derivative theories. According to such interpretation, complex ghosts will not appear on shell as asymptotic states because confined in what is natural to name "ghostballs."
