论文标题
Schwarzschild SpaceTime中远程观察者的量子标量场理论中的物理状态加倍
Doubling of physical states in the quantum scalar field theory for a remote observer in the Schwarzschild spacetime
论文作者
论文摘要
我们讨论了Schwarzschild时空中自由实际大规模标量场的规范量化问题。结果表明，可以在不考虑黑洞内部的情况下进行域名量化的一致步骤，因此在结果理论中，规范的换向关系得到了准确的满足，而哈密顿量具有标准形式。但是，与某些论文不同，其中使用了球形谐波中量子场的扩展，在这里，我们在散射状状态中使用膨胀来实现大于该场的质量的能量。这揭示了所得量子场理论的奇怪特性 - 量子状态的加倍，看起来与远离黑洞的观察者具有相同的渐近动量。通过远离黑洞，不能消除这种纯粹的拓扑效果。
We discuss the problem of canonical quantization of a free real massive scalar field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into account the black hole interior, so that in the resulting theory the canonical commutation relations are satisfied exactly, and the Hamiltonian has the standard form. However, unlike some papers, in which the expansion of the quantum field in spherical harmonics is used, here we use an expansion in scatteringlike states for energies larger than the mass of the field. This reveals a strange property of the resulting quantum field theory - doubling of the quantum states, which look as having the same asymptotic momentum to an observer located far away from the black hole. This purely topological effect cannot be eliminated by moving away from the black hole.
