论文标题
量子重力改性重力波的传播在经典的FLRW时空的传播
Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime
论文作者
论文摘要
线性化的爱因斯坦磁场方程为引力场的传播提供了低能波动方程，这可能起源于高能源。由循环量子重力激励，我们提出了聚合物量化方案，以在经典的Friedmann-Lemaitre-Robertson-Walker（FLRW）时空推导此类波的有效传播。为了克服量化时间依赖性的哈密顿量的聚合物的挑战，我们在扩展的相空间中以时间独立的方式重写了这样的哈密顿量，将其聚合对其进行聚合，然后将其转换回通常的相位空间。通过这种方式，我们为重力波获得了时间依赖的聚合物哈密顿量。然后，我们得出有效的运动方程，并表明（i）波的形式被修改，（ii）波的速度取决于它们的频率，并且（iii）随着波浪的横向长距离，量子效应变得更加明显。
The linearized Einstein field equations provide a low-energy wave equation for the propagation of gravitational fields which may originate from a high energy source. Motivated by loop quantum gravity, we propose the polymer quantization scheme to derive the effective propagation of such waves on a classical Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. To overcome the challenge of polymer quantizing a time-dependent Hamiltonian, we rewrite such a Hamiltonian in a time-independent manner in the extended phase space, polymerize it, and then transform it back to the usual phase space. In this way we obtain a time-dependent polymer Hamiltonian for the gravitational waves. We then derive the effective equations of motion and show that (i) the form of the waves is modified, (ii) the speed of the waves depends on their frequencies, and (iii) quantum effects become more apparent as waves traverse longer distances.
