Sum rule for Love
Jungwook Kim, Myungbo Shim · arXiv (Cornell University) · 2020
A sum rule for tidal Love number is derived from quantum field theory computations, which relates tidal susceptibility of a spinless body to transition rates of its single graviton emission processes. An analogous sum rule for electromagnetism is given as an example, which is substantiated by comparing to the solved problem of the hydrogen atom. The implications of the sum rule to the black hole firewall problem are speculated.