Covariant GUP deformed Hamilton-Jacobi method
type: Item
instance of: scholarly article
title: Covariant GUP deformed Hamilton-Jacobi method
zbMATH Open document ID: 1383.83040
DOI: 10.1155/2017/3191839
author: Benrong Mu
author: Peng Wang
author: Haitang Yang
published in: Advances in High Energy Physics
publication date: 2018-03-27T00:00:00Z
review text: Summary: We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action \(I\) of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle. On the other hand, various theories of quantum gravity suggest the existence of a minimal length scale, incorporating of which into quantum mechanics implies a modification of the uncertainty principle. In the scenario incorporating the generalized uncertainty principle (GUP) into a quantum field theory (QFT) in a covariant way, we derive the deformed model-independent KG/Dirac and Hamilton-Jacobi equations using the methods of effective field theory. For this Lorentz invariant GUP modified QFT, we find that the effect of GUP on the Hamilton-Jacobi equations is simply to ``renormalize'' the mass of the emitted particles, from \(m\) to \(m_{\mathrm{eff}}\). Therefore, in this scenario, the Hawking temperature of a black hole does not receive any corrections from the GUP effect.
Mathematics Subject Classification ID: 83C47
Mathematics Subject Classification ID: 83C45
Mathematics Subject Classification ID: 83C57
zbMATH DE Number: 6853032
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3191839
OpenAlex ID: W2780020893
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description: scientific article; zbMATH DE number 6853032