论文标题
来自当地的对称性。 iii。无质旋转2个重力和时间翻译
Symmetries from Locality. III. Massless Spin 2 Gravitons and Time Translations
论文作者
论文摘要
我们放松了涉及无质旋转2重力的理论中的时间平移和洛伦兹的对称性的假设,同时维持了距离没有瞬时信号传导的基本概念。我们投射纵向模式,仅留下两个重力的自由度。我们以前的工作假定时间翻译对称性,发现洛伦兹(Lorentz)提高对称性需要确保处于领先顺序的位置。在这项工作中,在不假设时间翻译或洛伦兹的提升的情况下,我们表明,物质之间的交换作用的局部性要求,在领先的秩序下,无质量的自旋2组织了Einstein-Hilbert和一个高斯 - 邦网术语,其预制因子被限制为时间的功能;在物质领域,我们恢复了时间翻译,洛伦兹(Lorentz)增强了对称性。最后,我们评论是否可以通过在分析中进入更高阶段的高阶预制器的时间依赖性,并且我们提到,如果包括重力量批量术语,则可以预期其他可能性。
We relax the assumption of time translation and Lorentz boost symmetry in theories involving massless spin 2 gravitons, while maintaining a basic notion of locality that there is no instantaneous signaling at a distance. We project out longitudinal modes, leaving only two degrees of freedom of the graviton. Our previous work, which assumed time translation symmetry, found that the Lorentz boost symmetry is required to ensure locality at leading order. In this work, without assuming time translations or Lorentz boosts, we show that locality of the exchange action between matter sources demands that massless spin 2, at leading order, organizes into Einstein-Hilbert plus a Gauss-Bonnet term with a prefactor that is constrained to be a particular function of time; while in the matter sector we recover time translation and Lorentz boost symmetry. Finally, we comment on whether the time dependence of the Gauss-Bonnet prefactor may be forbidden by going to higher order in the analysis and we mention that other possibilities are anticipated if graviton mass terms are included.