Hawking Radiation of Mass Generating Particles From Dyonic Reissner Nordstr\"{o}m Black Hole

TL;DR

This paper investigates the quantum tunneling of mass-generating charged scalar particles from a dyonic Reissner-Nordström black hole using the Hamilton-Jacobi method, deriving the Hawking temperature from tunneling probabilities.

Contribution

It develops a wave equation for mass-generating charged scalar particles and applies the Hamilton-Jacobi method to analyze their tunneling from a specific black hole background.

Findings

Derived the tunneling probability for massive charged bosons.

Confirmed the Hawking temperature matches the standard value for the black hole.

Extended the tunneling analysis to mass-generating particles.

Abstract

The Hawking radiation is considered as a quantum tunneling process, which can be studied in the framework of the Hamilton-Jacobi method. In this study, we present the wave equation for a mass generating massive and charged scalar particle (boson). In sequel, we analyze the quantum tunneling of these bosons from a generic 4-dimensional spherically symmetric black hole. We apply the Hamilton-Jacobi formalism to derive the radial integral solution for the classically forbidden action which leads to the tunneling probability. To support our arguments, we take the dyonic Reissner-Nordstr\"{o}m black hole as a test background. Comparing the tunneling probability obtained with the Boltzmann formula, we succeed to read the standard Hawking temperature of the dyonic Reissner-Nordstr\"{o}m black hole.