论文标题
来自当地的对称性。 I.电磁和电荷保护
Symmetries from Locality. I. Electromagnetism and Charge Conservation
论文作者
论文摘要
众所周知，（i）洛伦兹不变的理论和（ii）局部相互作用（iii）无质量旋转1粒子的两个自由度，即光子，在较大距离处独特地导致电磁作。在这项工作中，我们删除了（i）Lorentz提高不变性的假设，但我们仍然要求（II）和（III）。我们考虑了几类Spin 1的广泛理论，通常会明确违反Lorentz对称性。我们仅限于熟悉的两个光子自由度。我们发现，大多数理论导致距离的非本地性和瞬时信号传导。通过要求一种温和的位置形式（II），即树级交换作用显然是局部的，我们发现光子仍然必须通过具有相关内部对称性的保守电荷来采购。这恢复了电磁主义的主要特征，尽管它本身并没有施加洛伦兹的增强对称性。引力的案例极大地改善了最终结论，并在我们随附的论文第2部分中进行了详细报道。
It is well known that a theory of the (i) Lorentz invariant and (ii) locally interacting (iii) two degrees of freedom of a massless spin 1 particle, the photon, leads uniquely to electromagnetism at large distances. In this work, we remove the assumption of (i) Lorentz boost invariance, but we still demand (ii) and (iii). We consider several broad classes of theories of spin 1, which in general explicitly violate Lorentz symmetry. We restrict to the familiar two degrees of freedom of the photon. We find that most theories lead to non-locality and instantaneous signaling at a distance. By demanding a mild form of locality (ii), namely that the tree-level exchange action is manifestly local, we find that the photon must still be sourced by a conserved charge with an associated internal symmetry. This recovers the central features of electromagnetism, although it does not by itself impose Lorentz boost symmetry. The case of gravitation dramatically improves the final conclusion and is reported in detail in our accompanying paper Part 2.
