论文标题
幽灵和tachyon免费的Weyl仪表理论：一种系统的方法
Ghost and tachyon free Weyl gauge theories: a systematic approach
论文作者
论文摘要
我们研究了Minkowski背景的重力理论（WGT $^+$）的粒子含量。在完整理论的子集中，我们使用先前在[Arxiv：1812.02675]中介绍的系统方法来确定动作中参数值导致其他规格的不可分割的关键案例。我们发现，只要参数满足了我们也确定的某些条件，其中168个没有鬼魂和tachyons。我们进一步确定了其中的40个也是可将功率进行重量化的功能，并确定参数的相应条件。在这些理论中，有11个只有无质量的传播颗粒，23只具有巨大的传播模式，而6个具有两个。我们还分别对WGT $^+$进行分析，分别使用消失的扭转或曲率进行分析。我们将我们的发现与文献中先前几乎没有结果进行了比较。
We investigate the particle content of parity-preserving Weyl gauge theories of gravity (WGT$^+$) about a Minkowski background. Within a subset of the full theory, we use a systematic method previously presented in [arXiv:1812.02675] to determine 862 critical cases for which the parameter values in the action lead to additional gauge invariances. We find that 168 of these cases are free of ghosts and tachyons, provided the parameters satisfy certain conditions that we also determine. We further identify 40 of these cases that are also power-counting renormalizable and determine the corresponding conditions on the parameters. Of these theories, 11 have only massless tordion propagating particles, 23 have only a massive tordion propagating mode, and 6 have both. We also repeat our analysis for WGT$^+$ with vanishing torsion or curvature, respectively. We compare our findings with the very few previous results in the literature.
