标题： 量子几何传播中的问题 显示英文标题

标题： Issues in Quantum-Geometric Propagation

摘要： 给出了相空间上相对论量子几何力学的讨论，并将其推广到平坦时空上自由、有质量的量子几何标量场的传播。 结果表明，在平坦时空中任意坐标系和参考系下，得到的传播子与标准闵可夫斯基坐标下推导出的结果一致，仅相差一个作用于场动量内容上的洛伦兹boost，因此可以看出它在这个形式主义中起到了Bogolubov变换的作用。 这些结果在Milne宇宙背景下被明确展示出来。 显示英文摘要

摘要： A discussion of relativistic quantum-geometric mechanics on phase space and its generalisation to the propagation of free, massive, quantum-geometric scalar fields on curved spacetimes is given. It is shown that in an arbitrary coordinate system and frame of reference in a flat spacetime, the resulting propagator is necessarily the same as derived in the standard Minkowski coordinates up to a Lorentz boost acting on the momentum content of the field, which is therefore seen to play the role of Bogolubov transformations in this formalism. These results are explicitly demonstrated in the context of a Milne universe.