Quantum tunneling driven by quintessence and the role of GUP

In this paper, we studied quantum tunneling of massless and massive particles pertaining to a Schwarzschild black hole in a quintessence background, and explored the consequences emerging from a generalized uncertainty principle (GUP). For the quintessence scenario, we considered two specific cases of w, which is the ratio of the pressure and energy density, namely w=-1/3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w=-1/3$$\end{document} and w=-2/3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w=-2/3$$\end{document}. For the GUP, we used a modified Schwarzschild metric and employed a unique choice of contour integration to compute the tunneling amplitudes. An analysis and comparative study of the respective temperature profiles has been made. The energy emission rate has also been analysed.