论文标题
来自世界线量子场理论的古典黑洞散射
Classical black hole scattering from a worldline quantum field theory
论文作者
论文摘要
在全球量子场理论（WQFT）中，标量-graviton s-matrix元素和运算符的期望值之间得出了一个精确的联系，均用于描述一对黑洞的经典散射。该链接由Graviton穿着标量传播器的全球路径积分表示形式提供，该代表可以将其插入S-Matrix的传统定义中，从时间订购的相关器来插入。为了计算WQFT中的期望值，引入了一套新的Feynman规则，该规则将处理重力场$ H_ {μν}（x）$和位置$ x_i^μ（τ_i）$的位置$ x_i^μ（τ_i）$相等的脚步。从二进制黑孔散射事件中获得了这些下一阶经典重力辐射$ \ langle h^{μν}（k）\ rangle $（以前未知）和偏转$ΔP_I^μ$。后者也可以从$ 2 \ to2 $标量s-matrix的Eikonal阶段获得，我们证明与WQFT的自由能相对应。
A precise link is derived between scalar-graviton S-matrix elements and expectation values of operators in a worldline quantum field theory (WQFT), both used to describe classical scattering of a pair of black holes. The link is formally provided by a worldline path integral representation of the graviton-dressed scalar propagator, which may be inserted into a traditional definition of the S-matrix in terms of time-ordered correlators. To calculate expectation values in the WQFT a new set of Feynman rules is introduced which treats the gravitational field $h_{μν}(x)$ and position $x_i^μ(τ_i)$ of each black hole on equal footing. Using these both the next-order classical gravitational radiation $\langle h^{μν}(k)\rangle$ (previously unknown) and deflection $Δp_i^μ$ from a binary black hole scattering event are obtained. The latter can also be obtained from the eikonal phase of a $2\to2$ scalar S-matrix, which we show to correspond to the free energy of the WQFT.
