Exploring Quantum Tunneling in a Quintessence Background

In a recent paper titled "Quantum tunneling in a quintessence background and the role of GUP," author Sauvik Sen investigates the quantum tunneling of both massless and massive particles in the context of a Schwarzschild black hole situated within a quintessence background. The study specifically examines two cases of the equation of state parameter, denoted as ( w ), which represents the ratio of pressure to energy density. The values considered are ( w = -1/3 ) and ( w = -2/3 ).

The research employs a modified Schwarzschild metric and introduces a novel approach to contour integration to calculate the tunneling amplitudes. Additionally, the paper presents a comparative analysis of the temperature profiles associated with the different scenarios explored.

This work contributes to the understanding of quantum effects in cosmological settings, particularly in relation to black holes and dark energy models. The implications of these findings could enhance theoretical frameworks in quantum gravity and cosmology, offering insights into the behavior of particles in extreme gravitational fields.

The paper is available for further reading at arXiv:2408.15711.