论文标题
几何后牛顿后的弯曲时空中旋转半颗粒的描述
Geometric post-Newtonian description of spin-half particles in curved spacetime
论文作者
论文摘要
爱因斯坦等效原理（EEP）要求所有物质成分通过单个常见的几何形状：时空的几何形状普遍为重力。一旦考虑与重力相互作用，这将与几何形状联系起来。在这项工作中，我研究了在双重扩展方案中耦合自旋-1/2粒子与重力的几何理论：首先，基于基于费米正常坐标的距离，围绕着首选的世界线（例如，实验室中的时钟），第二位于1/C（Newtonian后扩张）。我认为QFT中巨大的纺纱场的一个粒子扇区，这里是通过经典场有效地描述的。 1/c的形式扩展产生了量子系统的系统且完整的GR校正。我发现文献中以1/c^2顺序忽略的新术语，并将近似值延长至下一个顺序。这些发现对于在相应敏感性的量子实验中的描述中以及在量子领域中的GR（例如EEP）的测试方面的量子实验描述中始终包含重力校正。
Einstein Equivalence Principle (EEP) requires all matter components to universally couple to gravity via a single common geometry: that of spacetime. This relates quantum theory with geometry as soon as interactions with gravity are considered. In this work, I study the geometric theory of coupling a spin-1/2 particle to gravity in a twofold expansion scheme: First with respect to the distance based on Fermi normal coordinates around a preferred worldline (e.g., that of a clock in the laboratory), second with respect to 1/c (post-Newtonian expansion). I consider the one-particle sector of a massive spinor field in QFT, here described effectively by a classical field. The formal expansion in powers of 1/c yields a systematic and complete generation of GR corrections for quantum systems. I find new terms that were overlooked in the literature at order 1/c^2 and extended the level of approximation to the next order. These findings are significant for a consistent inclusion of gravity corrections in the description of quantum experiments of corresponding sensitivities, and also for testing aspects of GR, like the EEP, in the quantum realm.
