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arXiv 0712.1209hep-th
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引力坍缩的S矩阵描述

Towards an S-matrix Description of Gravitational Collapse

D. Amati, M. Ciafaloni, G. Veneziano

备注：
39 pages, 5 figures; added discussion sect. 7, added references, acknowledgements
发表信息：
JHEP0802:049,2008
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摘要：

本文推广了我们以前关于量子弦引力中轻粒子的反普朗克散射（$Gs \gg \hbar$）的结果，给出了从大碰撞参量（$b \gg G\sqrt{s}>λ_s$）区域到经典引力坍缩区域的相应S矩阵的计算。通过求解先前引入的有效作用近似的半经典方程，我们发现，周围的领先程函结果的微扰膨胀发散在一个临界值$b = b_c = O(G\sqrt{s})$，标志着一个新的（黑洞相关？）政权然后，我们讨论了我们明确酉S-矩阵的主要特点-和相关的有效度量-下降到（和附近）$b = b_c$，并提出了一些想法和结果，其扩展的所有方式的$ b \to 0$区域。我们发现，对于$b<b_c$的物理场的解决方案是复值和S-矩阵显示额外的吸收，涉及到一个新的生产机制。令人惊讶的是，场解本身在任何地方都是规则的，这表明是量子隧穿而不是奇异几何。

英文摘要：

Extending our previous results on trans-Planckian ($Gs \gg \hbar$) scattering of light particles in quantum string-gravity we present a calculation of the corresponding S-matrix from the region of large impact parameters ($b \gg G\sqrt{s}>λ_s$) down to the regime where classical gravitational collapse is expected to occur. By solving the semiclassical equations of a previously introduced effective-action approximation, we find that the perturbative expansion around the leading eikonal result diverges at a critical value $b = b_c = O(G\sqrt{s})$, signalling the onset of a new (black-hole related?) regime. We then discuss the main features of our explicitly unitary S-matrix -- and of the associated effective metric -- down to (and in the vicinity of) $b = b_c$, and present some ideas and results on its extension all the way to the $ b \to 0$ region. We find that for $b<b_c$ the physical field solutions are complex-valued and the S-matrix shows additional absorption, related to a new production mechanism. The field solutions themselves are, surprisingly, everywhere regular, suggesting a quantum-tunneling -- rather than a singular-geometry -- situation.

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