AUTHOR=Nieuwenhuizen Theo M. 

TITLE=Stochastic Electrodynamics: Renormalized Noise in the Hydrogen Ground-State Problem

JOURNAL=Frontiers in Physics

VOLUME=Volume 8 - 2020

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00335

DOI=10.3389/fphy.2020.00335

ISSN=2296-424X

ABSTRACT=The hydrogen ground state problem is a touchstone for the theory of Stochastic Electrodynamics.
Recently, we have shown numerically and theoretically that the H-atom self-ionizes after a characteristic time. In another approach we reconsidered the harmonic oscillator and renormalized the stochastic force in order to suppress high-frequency tails so that all frequency integrals are dominated by the physical resonances. In the present work we consider the regularization of the noise in the hydrogen ground state problem. Several renormalization schemes are considered. Some are well behaved, while in other ones, the high frequency renormalization induces pathologies at low frequencies. In no situation we find a way to escape from the previously signaled self-ionization.