Towards an S-matrix description of gravitational collapse
Towards an S-matrix description of gravitational collapse
复制标题
引力塌缩的 S 矩阵描述
DOI：
10.1088/1126-6708/2008/02/049
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发表时间：
2007
影响因子：
5.4
通讯作者：
G. Veneziano
中科院分区：
文献类型：
--
作者：
D. Amati;M. Ciafaloni;G. Veneziano;G. Veneziano
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的结果，给出了从大碰撞参数（B G（s）1/2>λs）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量近似的半经典方程，我们发现围绕领先程函结果的微扰膨胀在临界值B = bc = O（G（s）1/2）处发散，这标志着一个新的（黑洞相关？）政权然后我们讨论了显酉S-矩阵的主要特征，以及相关的有效度量的主要特征，直到B = bc（及其附近），并给出了一些关于它一直延伸到B→0区域的思想和结果.我们发现，对于B < bc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正则的，这表明这是量子隧穿而不是奇异几何的情况。
Extending our previous results on trans-Planckian (Gs >> ) 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 >> G(s)1/2>λs) 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 = bc = O(G(s)1/2), 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 = bc, and present some ideas and results on its extension all the way to the b→0 region. We find that for b < bc 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.