高斯钟场下半经典极限的量子引力泛函薛定谔方程
The Functional Schrodinger Equation in the Semiclassical Limit of Quantum Gravity with a Gaussian Clock Field
摘要：
在量子几何动力学的半经典极限下，以高斯非相干尘埃作为钟场，导出了弯曲时空中量子场的泛函薛定谔方程。我们执行的半经典极限使用WKB型展开的波函数的平方普朗克质量的权力。我们得到的泛函薛定谔方程具有一个泛函时间导数，它完成了弯曲时空中WKB时间的通常定义，并且通常的薛定谔型演化在闵可夫斯基时空中得到了恢复。
英文摘要：
We derive the functional Schrodinger equation for quantum fields in curved spacetime in the semiclassical limit of quantum geometrodynamics with a Gaussian incoherent dust acting as a clock field. We perform the semiclassical limit using a WKB-type expansion of the wave functional in powers of the squared Planck mass. The functional Schrodinger equation that we obtain exhibits a functional time derivative that completes the usual definition of WKB time for curved spacetime, and the usual Schrodinger-type evolution is recovered in Minkowski spacetime.
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