Comments on the cosmological constant in generalized uncertainty models

Abstract

The existence of a small, non-zero cosmological constant is one of the major puzzles in fundamental physics. Naively, quantum field theory arguments would imply a cosmological constant which is up to 10${}^{120}$ times larger than the observed one. It is believed a comprehensive theory of quantum gravity would resolve this enormous mismatch between theory and observation. In this work, we study the ability of generalized uncertainty principle (GUP) models, which are phenomenologically motivated models of quantum gravity, to address the cosmological constant problem. In particular, we focus on how these GUP models may change the phase space of QFT, and how this affects the momentum space integration of the zero-point energies of normal modes of fields. We point out several issues that make it unlikely that GUP models, in their current form, would be able to adequately address the cosmological constant problem.

arXiv comment10 pages, revtex, no figures. Published in Frontiers in Astronomy and Space Science. This article is part of the Research Topic "Generalized Uncertainty Relations: Existing Paradigms and New Approaches" edited by Dr. Matthew Lake

References in corpus (17)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Quantum gravity and minimum length
• A Generalized Uncertainty Principle in Quantum Gravity
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• The Generalized Uncertainty Principle and Black Hole Remnants
• On Gravity and the Uncertainty Principle
• Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
• Black hole thermodynamics with generalized uncertainty principle
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• Planck scale effects on some low energy quantum phenomena
• Neutrino oscillations as a novel probe for a minimal length
• Effect of the Generalized Uncertainty Principle on Post-Inflation Preheating
• Cosmological Constant from a Deformation of the Wheeler-DeWitt Equation
• Short Distance Physics of the Inflationary de Sitter Universe
• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• Reconciling a quantum gravity minimal length with lack of photon dispersion

Cited by in corpus (1)

• Quantum gravity, the cosmological constant, and parity transformation