论文标题
来自当地的对称性。 ii。引力和洛伦兹的提升
Symmetries from Locality. II. Gravitation and Lorentz Boosts
论文作者
论文摘要
众所周知，局部，洛伦兹不变的统一理论涉及带有自旋1的颗粒，要求他们夫妇夫妇的物质部门由内部物理对称性和相关的电荷保护组织，而旋转3/2则需要超对称性。但是，引入自旋2重力并不需要物质部门的新对称性（尽管它确实需要通用耦合）。在这项工作中，我们放松了Lorentz增强对称性的假设，同时保持了当地的基本概念，即距离没有瞬时信号传导。这扩展并补充了我们在第1部分中关于电磁旋转1颗粒的相关问题的伴随工作。为了避免引力的纵向模式的潜在问题，我们选择将它们投射出去，仅留下两个自由度。我们研究了大量的理论，这些理论可能会违反洛伦兹的增强不变性。通过要求树级的交换行动是本地的，我们发现一致性要求洛伦兹的增强对称性必须被重力和物质部门所满足，进而我们在此分析顺序下恢复了一般相对论。
It is known that local, Lorentz invariant, unitary theories involving particles with spin 1 demand that the matter sector they couple to are organized by internal physical symmetries and the associated charge conservation, while spin 3/2 demands supersymmetry. However, the introduction of a spin 2 graviton does not obviously demand new symmetries of the matter sector (although it does demand a universal coupling). In this work we relax the assumption of Lorentz boost symmetry, while maintaining a basic notion of locality that there is no instantaneous signaling at a distance. This extends and complements our accompanying work in Part 1 on related issues for spin 1 particles in electromagnetism. In order to avoid potential problems with longitudinal modes of the graviton, we choose to project them out, leaving only two degrees of freedom. We study large classes of theories that a priori may violate Lorentz boost invariance. By requiring the tree-level exchange action be local, we find that consistency demands that the Lorentz boost symmetry must be satisfied by the graviton and the matter sector, and in turn we recover general relativity at this order of analysis.
