论文标题
从小行星质量原始黑洞中校正鹰辐射：I。量子电动力学中耗散相互作用的形式主义
Corrections to Hawking Radiation from Asteroid Mass Primordial Black Holes: I. Formalism of Dissipative Interactions in Quantum Electrodynamics
论文作者
论文摘要
质量范围内的原始黑洞（PBHS）$ 10^{17} -10^{22} $ G是描述所有暗物质内容的有利候选人。在此质量范围的下端，这些pbhs的霍金温度为$ t _ {\ rm h} $，为$ t _ {\ rm h} \ gtrsim 100 $ kev，允许电子创建电子 - 正面对；因此，对于大多数当前和将来的MEV调查，使鹰辐射成为有用的约束。这激发了对从霍金辐射中发出的颗粒的分布和动力学进行现实和严格的说明，以便从高能量观察中正确模拟了检测到的信号。这是一系列论文中的第一篇，以说明$ \ Mathcal {O}（α）$校正到霍金辐射谱。我们从Schwarzschild几何形状上的光子和旋转器（电子/正电子）场的通常规范量化开始。然后，我们根据相互作用的哈密顿式计算标准时间依赖的扰动理论来计算对排放速率的校正。我们以耗散性校正的分析表达结束，即由于等离子体中电子/正电子的创建和an灭而导致的校正。
Primordial black holes (PBHs) within the mass range $10^{17} - 10^{22}$ g are a favorable candidate for describing the all of the dark matter content. Towards the lower end of this mass range, the Hawking temperature, $T_{\rm H}$, of these PBHs is $T_{\rm H} \gtrsim 100$ keV, allowing for the creation of electron -- positron pairs; thus making their Hawking radiation a useful constraint for most current and future MeV surveys. This motivates the need for realistic and rigorous accounts of the distribution and dynamics of emitted particles from Hawking radiation in order to properly model detected signals from high energy observations. This is the first in a series of papers to account for the $\mathcal{O}(α)$ correction to the Hawking radiation spectrum. We begin by the usual canonical quantization of the photon and spinor (electron/positron) fields on the Schwarzschild geometry. Then we compute the correction to the rate of emission by standard time dependent perturbation theory from the interaction Hamiltonian. We conclude with the analytic expression for the dissipative correction, i.e. corrections due to the creation and annihilation of electron/positrons in the plasma.
