Holographic chaos, pole-skipping, and regularity
Holographic chaos, pole-skipping, and regularity
复制标题
DOI：
10.1093/ptep/ptz155
复制
发表时间：
2019-05
影响因子：
3.5
通讯作者：
Makoto Natsuume;T. Okamura
中科院分区：
文献类型：
--
作者：
Makoto Natsuume;T. Okamura
研究了全息混沌中的“跳极”现象。根据极点跳跃理论，能量密度绿色函数在复动量平面的某一点上不是唯一的。这是因为体场方程在特殊点有两个正则的近视界解。我们研究的正则性的两个解决方案更仔细地使用曲率不变量。在上半$\omega$-平面，一个解决方案，这通常被解释为外出模式，是在未来的地平线一般奇异，并产生曲率奇点。然而，在特殊点，这两个解决方案确实是正规的。此外，由于这些解决方案，传入模式不能唯一地定义在特殊点。
We investigate the “pole-skipping” phenomenon in holographic chaos. According to pole-skipping, the energy-density Green’s function is not unique at a special point in the complex momentum plane. This arises because the bulk field equation has two regular near-horizon solutions at the special point. We study the regularity of the two solutions more carefully using curvature invariants. In the upper-half $\omega$-plane, one solution, which is normally interpreted as the outgoing mode, is in general singular at the future horizon and produces a curvature singularity. However, at the special point, both solutions are indeed regular. Moreover, the incoming mode cannot be uniquely defined at the special point due to these solutions.