论文标题
耦合量子物质和重力
Coupling Quantum Matter and Gravity
论文作者
论文摘要
在这项贡献中，我们在尝试将量子物质与经典的重力领域相结合时处理了几个问题。我们从一般的背景讨论开始，然后再进行两个技术部分。在第一个技术部分中，我们考虑了一个问题，即如何在系统的牛顿后环境中计算出外部引力场中复合材料两粒子系统的哈密顿量，而无需反应。这使我们能够可靠地估算了较低的系统性和更直观的方法的一致性和完整性，这些方法试图通过手动添加“相对论效应”来解决此问题。在第二个技术部分中，我们考虑了量子问题如何通过半经典爱因斯坦方程充当经典重力场的来源的问题。对这种方法从根本上不一致的效果进行了批判性审查。
In this contribution we deal with several issues one encounters when trying to couple quantum matter to classical gravitational fields. We start with a general background discussion and then move on to two more technical sections. In the first technical part we consider the question how the Hamiltonian of a composite two-particle system in an external gravitational field can be computed in a systematic post-Newtonian setting without backreaction. This enables us to reliably estimate the consistency and completeness of less systematic and more intuitive approaches that attempt to solve this problem by adding `relativistic effects' by hand. In the second technical part we consider the question of how quantum matter may act as source for classical gravitational fields via the semiclassical Einstein equations. Statements to the effect that this approach is fundamentally inconsistent are critically reviewed.
