Black Holes and Massive Elementary Particles in Resummed Quantum Gravity

Abstract

Einstein's general theory of relativity poses many problems to the quantum theory of point particle fields. Among them is the fate of a massive point particle. Since its rest mass exists entirely within its Schwarzschild radius, in the classical solutions of Einstein's theory, the respective system should be a black hole. We address this issue using exact results in a new approach to quantum gravity based upon well-tested resummation methods in point particle quantum field theory. We show that the classical conclusion is obviated by quantum loop effects. We show that our new approach already passes two theoretical checks with the published literature; for, it reproduces known results on the one-loop correction to the graviton self-energy in scaler matter coupled to Einstein's gravity as analyzed by 't Hooft and Veltman and it is consistent with the asymptotic safety results of Bonnanno and Reuter on the behavior of Newton's constant in the deep Euclidean regime. Indeed, our approach is consistent with the black hole phenomenology of the latter authors, including their results on the final state of the Hawking radiation for an originally massive black hole. Further black hole related phenomenological implications are also discussed.