标题： 量子广义协变性 显示英文标题

标题： Quantum general covariance

摘要： 量子相互作用与自旋二场（“引力子”）的结构受到三个原则的强烈约束：正定性（希尔伯特空间）、协变性和可观测量的局部性。 为了同时满足这些原则，一些（不可观测的）场需要是非局部的。 我们使用弦局部化场。 结果则来自于这样的条件：与可观测量密切相关的实体，如S矩阵，必须是局部的且与弦无关。 它们特别地再现了经典场论中由广义协变性所规定的相互作用。 只有在考虑引力子自相互作用的情况下，引力子-物质耦合才是自洽的。 显示英文摘要

摘要： The structure of quantum interactions with fields of helicity two ("gravitons") is strongly constrained by three principles: positivity (Hilbert space), covariance, and locality of observables. To fulfil them simultaneously, some (non-observable) fields need to be non-local. We work with string-localized fields. The results then follow from the condition that entities closely related to observables, like the S-matrix, be local and string-independent. They in particular reproduce the interactions dictated by general covariance in classical field theory. Graviton-matter couplings are consistent only when the graviton self-interaction is taken into account as well.