论文标题

量子场理论中的可观察到崩溃的黑洞背景

Observables in quantum field theory on a collapsing black hole background

论文作者

Berger, Micheal S., Liu, Zhi

论文摘要

我们使用(1+1)尺寸重新归一化的应激能量张量(RSET)构建的标量可观察到的标量可观察到的量子辐射。我们计算能量密度$ \ cal U $,Flux $ \ cal f $和压力$ \ cal p $,用于任意崩溃方案和任意观察者。结果显示出清晰的结构:$ \ cal f - \ cal u $代表独立于崩溃的ingoing模式,$ \ cal f + \ cal u $代表倒塌的向外发出模式,$ \ cal p - \ cal u $代表痕量异常。我们还计算了根据感知重新归一化的应力能量张量(Perset)构建的可观察物。我们发现它们与与RSET相关的对​​应物相比,它们具有相同的崩溃依赖性贡献。特别是对于自由观察者而言,与相应的RSET相关的观察者相同,除了能量密度因痕量异常而异。

We study the quantum radiation from a curved background using scalar observables constructed from the (1+1) dimensional renormalized stress-energy tensor (RSET). We compute energy density $\cal U$, flux $\cal F$ and pressure $\cal P$ for an arbitrary collapse scenario and an arbitrary observer. The results show a clear structure: $\cal F - \cal U$ represents the collapse-independent ingoing modes, $\cal F + \cal U$ represents the collapse-dependent outgoing modes and $\cal P - \cal U$ represents the trace anomaly. We also compute the observables constructed from the perception renormalized stress-energy tensor (PeRSET). We find they have the same collapse-dependent contribution comparing to their RSET-related counterparts. For free-falling observers, in particular, the PeRSET-related observables are the same as the corresponding RSET-related ones, except the energy densities differ by the trace anomaly.

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