论文标题
非本地性在重力和量子理论中的影响
Effects of Non-locality in Gravity and Quantum Theory
论文作者
论文摘要
时空---空间和时间的结合---在我们迷人的宇宙中物理过程中的演员和阶段。在洛伦兹不变的局部理论中，最大信号速度（“光速”）的存在决定了时空中因果关系的概念，将过去与未来区分开，并与效果相关。本论文专门研究\ emph {deviations}与当地的研究。我们专注于特定类别的\ emph {非本地理论，既是洛伦兹不变又不鬼，我们旨在了解这种非本地物理学在重力和量子理论中的影响。非本地无幽灵理论伴随着一个尺寸长度的参数$ \ ell $，该$ \ ell $参数为非本地性的规模，因此，我们努力根据此符号表达非本地性的所有效果。在$ \ ell = 0 $的限制情况下，一个人恢复了本地理论，而非本地性的影响消失了。为了解决这些问题，我们开发了非本地绿色功能的概念[...]。本文中介绍的结果在引力物理和量子物理学区域均建立了洛伦兹不变，无鬼的非本地性的几种影响。 （文档中的完整摘要。）
Spacetime---the union of space and time---is both the actor and the stage during physical processes in our fascinating Universe. In Lorentz invariant local theories, the existence of a maximum signalling speed (the "speed of light") determines a notion of causality in spacetime, distinguishing the past from the future, and the cause from the effect. This thesis is dedicated to the study of \emph{deviations} from locality. Focussing on a particular class of \emph{non-local} theories that is both Lorentz invariant and free of ghosts, we aim to understand the effects of such non-local physics in both gravity and quantum theory. Non-local ghost-free theories are accompanied by a parameter $\ell$ of dimension length that parametrizes the scale of non-locality, and for that reason we strive to express all effects of non-locality in terms of this symbol. In the limiting case of $\ell=0$ one recovers the local theory, and the effects of non-locality vanish. In order to address these questions we develop the notion of non-local Green functions [...]. The results presented in this thesis establish several effects of a Lorentz invariant, ghost-free non-locality in the areas of both gravitational and quantum physics. (Full abstract in document.)
