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arXiv 1709.10375hep-th
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引力散射坍缩区的辐射增强和“温度”

Radiation enhancement and "temperature" in the collapse regime of gravitational scattering

Dimitri Colferai, Marcello Ciafaloni

摘要:

本文将引力子辐射的半经典处理推广到极大能量$\sqrt{s}\gg m_P$和有限散射角$Θ_s$下的引力散射,以逼近碰撞参数$b \simeq b_c \sim R\equiv 2G\sqrt{s}$的坍缩区.我们的基本工具是最近提出的,统一形式的辐射ACV约化作用模型和它的简化程函交换的扩展。通过将辐射叠加在程函散射上,我们能够导出相应的(酉)相干态算符。由此产生的引力子谱,调整的引力半径$R$,完全同意与以前的计算小角度$Θ_s\ll 1$,但对于相当大的角度$Θ_s(b)\leq Θ_c = O(1)$收购的大$ωR$区域的指数截止,由于能量守恒,从而发出总能量的有限部分。在$b\to b_c^+$接近坍缩的区域,我们发现由于大的潮汐力导致的辐射增强,因此整个能量被辐射出去,具有大的多重数$\langle N \rangle\sim Gs \gg 1$和定义良好的$R^{-1}$阶截止频率。后者对应于质量明显小于$\sqrt{s}$的黑洞的霍金温度。

英文摘要:

We generalize the semiclassical treatment of graviton radiation to gravitational scattering at very large energies $\sqrt{s}\gg m_P$ and finite scattering angles $Θ_s$, so as to approach the collapse regime of impact parameters $b \simeq b_c \sim R\equiv 2G\sqrt{s}$. Our basic tool is the extension of the recently proposed, unified form of radiation to the ACV reduced-action model and to its resummed-eikonal exchange. By superimposing that radiation all-over eikonal scattering, we are able to derive the corresponding (unitary) coherent-state operator. The resulting graviton spectrum, tuned on the gravitational radius $R$, fully agrees with previous calculations for small angles $Θ_s\ll 1$ but, for sizeable angles $Θ_s(b)\leq Θ_c = O(1)$ acquires an exponential cutoff of the large $ωR$ region, due to energy conservation, so as to emit a finite fraction of the total energy. In the approach-to-collapse regime of $b\to b_c^+$ we find a radiation enhancement due to large tidal forces, so that the whole energy is radiated off, with a large multiplicity $\langle N \rangle\sim Gs \gg 1$ and a well-defined frequency cutoff of order $R^{-1}$. The latter corresponds to the Hawking temperature for a black hole of mass notably smaller than $\sqrt{s}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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