论文标题
超鹰辐射
Super-Hawking Radiation
论文作者
论文摘要
我们讨论了对渐近状态被超倾斜或超支时出现的鹰谱的修改。对于超级翻译,我们发现两点相关器中的非平凡偏离阶段,尽管最终使发射光谱保持不变,正如先前在文献中所指出的那样。相比之下,近端产生的修饰会在发射光谱中表现出来,并在未来的无效无穷大小上非琐事地取决于相关的保形因子。我们研究Lorentz的提升和一类超支,它们的共形因子不取决于天体球的方位角,并且其在北极和南极的奇异性与宇宙弦的存在有关。尽管存在这种奇异性,但近端仍导致颗粒和能量的有限光谱发射速率,这些发射速率在每个角动量状态下在高频下显示出独特的幂律行为。相反,集成的粒子发射速率和发射功率在对数和二次之间确实表现出紫外线的紫外线差异。这样的差异可以归因于沿宇宙字符串支持的模式。在对数的情况下,对应于两次覆盖球体的近启动,排放的总功率仍然呈现Stefan-Boltzmann形式,但有一个有效的区域,在紫外线中对数差异。
We discuss modifications to the Hawking spectrum that arise when the asymptotic states are supertranslated or superrotated. For supertranslations we find nontrivial off-diagonal phases in the two-point correlator although the emission spectrum is eventually left unchanged, as previously pointed out in the literature. In contrast, superrotations give rise to modifications which manifest themselves in the emission spectrum and depend nontrivially on the associated conformal factor at future null infinity. We study Lorentz boosts and a class of superrotations whose conformal factors do not depend on the azimuthal angle on the celestial sphere and whose singularities at the north and south poles have been associated to the presence of a cosmic string. In spite of such singularities, superrotations still lead to finite spectral emission rates of particles and energy which display a distinctive power-law behavior at high frequencies for each angular momentum state. The integrated particle emission rate and emitted power, on the contrary, while finite for boosts, do exhibit ultraviolet divergences for superrotations, between logarithmic and quadratic. Such divergences can be ascribed to modes with support along the cosmic string. In the logarithimic case, corresponding to a superrotation which covers the sphere twice, the total power emitted still presents the Stefan-Boltzmann form but with an effective area which diverges logarithmically in the ultraviolet.