论文标题
量子重力相关的世界线理论中的传播器
Propagators in the Correlated Worldline Theory of Quantum Gravity
论文作者
论文摘要
从相关的世界线（CWL）理论从路径上的功能积分来开始，我们在该理论中为粒子和物质领域定义了传播剂。我们表明，CWL理论最自然的表述涉及对该理论的生成功能的重新缩放。然后简化相关函数，所有包含重力的环的循环都从扰动膨胀中消失。时空度量标准遵守爱因斯坦方程，该方程由所有相互作用的CWL路径提出。物质路径与重力相关，从而违反了大量质量的量子力学。我们为生成功能和物质传播器以及线性化的弱场理论得出了确切的结果。为了进行两路实验的示例，我们得出了CWL物质传播器，并展示了结果与常规量子理论和半经典重力的比较。我们还展示了CWL物质传播器的低阶扰动理论的结构。
Starting from a formulation of Correlated Worldline (CWL) theory in terms of functional integrals over paths, we define propagators for particles and matter fields in this theory. We show that the most natural formulation of CWL theory involves a rescaling of the generating functional for the theory; correlation functions then simplify, and all loops containing gravitons disappear from perturbative expansions. The spacetime metric obeys the Einstein equation, sourced by all of the interacting CWL paths. The matter paths are correlated by gravitation, thereby violating quantum mechanics for large masses. We derive exact results for the generating functional and the matter propagator, and for linearized weak field theory. For the example of a two-path experiment, we derive the CWL matter propagator, and show how the results compare with conventional quantum theory and with semiclassical gravity. We also exhibit the structure of low-order perturbation theory for the CWL matter propagator.
