AI 中文总结
研究近极端雷斯纳 - 诺德斯特龙黑洞坍缩时霍金辐射的关联，采用爱因斯坦 - 麦克斯韦与标量场耦合的哈密顿表述，通过求解约束条件得到含引力反作用效应的标量场作用量，计算辐射关联，还表明与标准 JT/施瓦茨描述等价并重现部分结果。
AI 中文摘要
我们考虑通过坍缩形成近极端雷斯纳 - 诺德斯特龙黑洞，并展示如何计算由于近视界区域引力反作用增强而产生的出射霍金辐射中的关联。通过简化到 s 波并采用爱因斯坦 - 麦克斯韦理论与标量场耦合的哈密顿表述来实现。求解约束条件得到一个标量场的作用量，它在量子水平上包含引力反作用效应，由有效耦合 g = G/(\pi r_0^3 T_H) 控制，该耦合在低温下增长。此作用量对自由场霍金态产生修正，这些修正印刻在无穷远零处测量的霍金辐射的关联函数上。我们还表明，在 AdS_2 区域评估的此作用量在所有树级边界关联器的层面上等同于与 dressed 双局域算符耦合的标准 JT/施瓦茨描述，并且重现了一些一圈结果。在我们的方法中，度规涨落通过简化的标量作用量量子力学地包含在内，而不是通过半经典期望值，并且当忽略度规涨落时，我们对辐射的计算明显简化为霍金的原始处理。
英文摘要
We consider the formation of a near-extremal Reissner-Nordstrom black hole by collapse, and show how to compute correlations in the outgoing Hawking radiation due to enhanced gravitational backreaction effects in the near-horizon region. This is done by reducing to the s-wave and employing the Hamiltonian formulation of Einstein-Maxwell theory coupled to a scalar field. Solving the constraints yields an action for the scalar field that incorporates gravitational backreaction effects at the quantum level, governed by an effective coupling g = G/(πr_0^3 T_H) that grows at low temperature, as in recent Schwarzian-based analyses. This action produces corrections to the free field Hawking state which are imprinted on correlation functions of the Hawking radiation measured at null infinity. As part of our analysis, we show that this action evaluated in the AdS_2 region is equivalent, at the level of all tree-level boundary correlators, to the standard JT/Schwarzian description coupled to dressed bilocal operators. We also reproduce some one-loop results. In our approach, metric fluctuations are included quantum mechanically through the reduced scalar action, rather than through a semiclassical expectation value, and our computation of the radiation manifestly reduces to Hawking's original treatment when metric fluctuations are neglected.
Comments45 pages plus appendices
