标题： 光在量子弯曲时空中的传播及反作用效应 显示英文标题

标题： Light Propagation on Quantum Curved Spacetime and Back reaction effects

摘要： 我们研究在圈量子引力的半经典近似下任意量子弯曲背景上的电磁场方程。 获得了麦克斯韦场和引力场的有效相互作用哈密顿量，并推导出相应的场方程，这些方程可以表示为麦克斯韦势的修正波方程。 我们利用这些结果分析电磁波在量子罗伯逊-沃尔克时空中的传播，并表明洛伦兹不变性不被保持。 所发展的形式可用于考虑电磁场对度规的反作用效应的情况，导致非协变的场方程。 显示英文摘要

摘要： We study the electromagnetic field equations on an arbitrary quantum curved background in the semiclassical approximation of Loop Quantum Gravity. The effective interaction hamiltonian for the Maxwell and gravitational fields is obtained and the corresponding field equations, which can be expressed as a modified wave equation for the Maxwell potential, are derived. We use these results to analyze electromagnetic wave propagation on a quantum Robertson-Walker space time and show that Lorentz Invariance is not preserved. The formalism developed can be applied to the case where back reaction effects on the metric due to the electromagnetic field are taken into account, leading to non covariant field equations.