Effective models of quantum gravity induced by Planck scale modifications in the covariant quantum algebra

DOI10.1155/2017/4768341zbMath1375.83019arXiv1610.01480OpenAlexW3098201554MaRDI QIDQ1682349

J. T. Guaitolini Junior, P. I. C. Caneda, Y. M. P. Gomes, V. Nikoofard, Gustavo P. de Brito

Publication date: 30 November 2017

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01480

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization of the gravitational field (83C45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (2)

The short-distance behavior of an Abelian Proca model based on a one-parameter extension of the covariant Heisenberg algebra ⋮ Lagrangian formulation of an infinite derivative real scalar field theory in the framework of the covariant Kempf-Mangano algebra in a \((D+1)\)-dimensional Minkowski space-time

Cites Work

• Path integral quantization corresponding to the deformed Heisenberg algebra
• Supersymmetry breaking as a new source for the generalized uncertainty principle
• Quantum gravitational corrections to the real Klein-Gordon field in the presence of a minimal length
• Lorentz-covariant deformed algebra with minimal length
• Super-renormalizable and finite gravitational theories
• Formulation of electrodynamics with an external source in the presence of a minimal measurable length
• String theory and noncommutative geometry
• On the cancellation of Newtonian singularities in higher-derivative gravity
• Superrenormalizable quantum gravity with complex ghosts
• Minimal length scale scenarios for quantum gravity
• Complex-mass definition and the structure of unstable particle's propagator
• Lee-Wick black holes
• Super-renormalizable or finite Lee-Wick quantum gravity
• On Newtonian singularities in higher derivative gravity models
• Scattering amplitudes in super-renormalizable gravity
• Higher-order theories from the minimal length
• Quantum electrodynamics and the electron self-energy in a deformed space with a minimal length scale
• FORMULATION OF THE SPINOR FIELD IN THE PRESENCE OF A MINIMAL LENGTH BASED ON THE QUESNE–TKACHUK ALGEBRA
• Asymptotic safety, emergence and minimal length
• Some Remarks on High Derivative Quantum Gravity
• Non-pointlike particles in harmonic oscillators
• Nonlocal quantum gravity: A review
• Propagator, tree-level unitarity and effective nonrelativistic potential for higher-derivative gravity theories in D dimensions
• Minimal length uncertainty relation and the hydrogen atom
• Simple prescription for computing the interparticle potential energy for D -dimensional gravity systems
• Lorentz-covariant deformed algebra with minimal length and application to the (1 + 1)-dimensional Dirac oscillator
• GUP-corrected thermodynamics for all black objects and the existence of remnants
• LAGRANGIAN FORMULATION OF A MAGNETOSTATIC FIELD IN THE PRESENCE OF A MINIMAL LENGTH SCALE BASED ON THE KEMPF ALGEBRA
• Quantized Space-Time

This page was built for publication: Effective models of quantum gravity induced by Planck scale modifications in the covariant quantum algebra