Year: 2022
Type: article
Abstract: We present a procedure to link the deformation parameter $\ensuremath{\beta}$ of the generalized uncertainty principle (GUP) to the two free parameters $\stackrel{\texttildelow{}}{\ensuremath{\omega}}$ and $\ensuremath{\gamma}$ of the running Newtonian coupling constant of the asymptotically safe gravity program. To this aim, we compute the Hawking temperature of a black hole in two different ways. The first way involves the use of the GUP in place of the Heisenberg uncertainty relations, and therefore we get a deformed Hawking temperature containing the parameter $\ensuremath{\beta}$. The second way involves the deformation of the Schwarzschild metric due to the Newtonian coupling constant running according to the asymptotically safe gravity prescription. The comparison of the two techniques yields a relation between $\ensuremath{\beta}$ and $\stackrel{\texttildelow{}}{\ensuremath{\omega}}$, $\ensuremath{\gamma}$. As a particular case, we discuss also the so-called $\ensuremath{\xi}$-model. The relations between $\ensuremath{\beta}$ and $\stackrel{\texttildelow{}}{\ensuremath{\omega}}$, $\ensuremath{\xi}$ allow us to transfer upper bounds from one parameter to the others.
Authors: Gaetano Lambiase, Fabio Scardigli
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4283362828