论文标题

2D中大型田地的鹰辐射

Hawking radiation of massive fields in 2D

论文作者

Diatlyk, O.

论文摘要

我们通过在薄壳崩溃的情况下考虑在二维中考虑一个大型标量场,从而扩展了P. C. W. Davies,S。A. Fulling和W. G. Unruh“在蒸发黑洞附近的能量巨头张量”。我们表明,如果$ mr_ {g} \ gg 1 $,WKB近似在任何值中均有效,其中$ m $是该字段的质量,而$ r_ {g} $是schwarzschild radius。因此,我们使用半经典模式来计算外壳附近的通量,在空间无穷大,$ r \ rightarrow +\ \ \ infty $在崩溃的最后阶段,$ t \ rightarrow +\ iffty $,并使用协证点拆分正规化。我们在壳附近和空间无穷大范围内得到辐射,辐射是鹰温度的热度。我们在外壳附近获得了负通量$ t_ {vv} $,这与无数情况下的经典结果相似。

We extend the classic results of the paper P. C. W. Davies, S. A. Fulling, and W. G. Unruh "Energy-momentum tensor near an evaporating black hole" by considering a massive scalar field in a two dimensions in the presence of a thin shell collapse. We show that outside the shell the WKB approximation is valid for any value of $r$ if $mr_{g} \gg 1$, where $m$ is the mass of the field, and $r_{g}$ is the Schwarzschild radius. Thus, we use semiclassical modes to calculate the flux in the vicinity of the shell, and at spatial infinity, $r \rightarrow +\infty$ at the final stage of the collapse, $t \rightarrow +\infty$ with the use of the covariant point-splitting regularization. We get that near the shell and at the spatial infinity the radiation is thermal with Hawking temperature. We obtain the negative flux $T_{vv}$ in the vicinity of the shell, which is similar to the classic result in the massless case.

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