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arXiv 1709.08405hep-th
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在散射坍缩区中恢复引力子辐射的么正性

Unitarity restoring graviton radiation in the collapse regime of scattering

Marcello Ciafaloni, Dimitri Colferai

备注：
13 pages, 3 figures
发表信息：
Phys. Rev. D 96, 126008 (2017)
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摘要：

我们研究了在小碰撞参量$b<R\equiv 2G\sqrt{s}$和极端能量$s\gg M_P^2$下引力散射中的引力子辐射，在这种情况下，经典坍缩被认为会发生，因此辐射也可能被抑制。然而，在这里，通过分析最近在半经典ACV框架下提出的辐射的软基表示，我们认为，引力子可以有效地产生在非陷阱区$|\boldsymbol{x}|\gtrsim R>b$，从而建议可能完成的么正和。事实上，这种在大距离处的能量辐射被证明是补偿的，并且逐渐地将被捕获在小- $b$处的能量$E'$的量减少到零，从而避免了弹性散射的量子隧穿抑制，并且表明了幺正演化。最后，我们看看这样得到的相干辐射样本，我们发现，通过能量守恒，它开发了一个指数频率阻尼对应于“准温度”的顺序$\hbar/R$，这是自然相关的霍金辐射，并暗示了黑洞信号在量子水平。

英文摘要：

We investigate graviton radiation in gravitational scattering at small impact parameters $b<R\equiv 2G\sqrt{s}$ and extreme energies $s\gg M_P^2$, a regime in which classical collapse is thought to occur, and thus radiation may be suppressed also. Here however, by analyzing the soft-based representation of radiation recently proposed in the semiclassical ACV framework, we argue that gravitons can be efficiently produced in the untrapped region $|\boldsymbol{x}|\gtrsim R>b$, so as to suggest a possible completion of the unitarity sum. In fact, such energy radiation at large distances turns out to compensate and to gradually reduce to nothing the amount of energy $E'$ being trapped at small-$b$'s, by thus avoiding the quantum tunneling suppression of the elastic scattering and suggesting a unitary evolution. We finally look at the coherent radiation sample so obtained and we find that, by energy conservation, it develops an exponential frequency damping corresponding to a "quasi-temperature" of order $\hbar/R$, which is naturally related to a Hawking radiation and is suggestive of a black-hole signal at quantum level.

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