Related papers: Generalized uncertainty principle and Asymptotic Safe gravity

Generalized uncertainty principle and Asymptotic Safe gravity

URL: http://arxiv.org/abs/2204.07416v1
Date: Fri, 15 Apr 2022 10:45:33 GMT
Title: Generalized uncertainty principle and Asymptotic Safe gravity
Authors: Gaetano Lambiase and Fabio Scardigli
Abstract summary: We compute the Hawking temperature of a black hole in two different ways. The relation between $beta$ and $om$, $xi$ allow us to transfer upper bounds from one parameter to the others.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We present a procedure to link the deformation parameter $\beta$ of the generalized uncertainty principle (GUP) to the two free parameters $\om$ and $\gamma$ of the running Newtonian coupling constant of the Asymptotic Safe gravity (ASG) 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 $\beta$. The second way involves the deformation of the Schwarzschild metric due to the Newtonian coupling constant running according to the AS gravity prescription. The comparison of the two techniques yields a relation between $\beta$ and $\om$, $\gamma$. As a particular case, we discuss also the so called $\xi$-model. The relations between $\beta$ and $\om$, $\xi$ allow us to transfer upper bounds from one parameter to the others.

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