Quantum gravity as sum over spacetimes

Abstract

A major unsolved problem in theoretical physics is to reconcile the classical theory of general relativity with quantum mechanics. These lectures will deal with an attempt to describe quantum gravity as a path integral over geometries known as "Causal Dynamical Triangulations" (CDT).

references added, typos corrected. 67 pages, lectures given at the summer school "New Paths Towards Quantum Gravity", May 12-16 2008. To appear as part of a Springer Lecture Notes in Physics publication: "Quantum Gravity - New Paths Towards Unification"

References in corpus (5)

• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations
• A new continuum limit of matrix models
• Summing over all Topologies in CDT String Field Theory

Cited by in corpus (26)

• Quantum Einstein Gravity
• Nonperturbative Quantum Gravity
• Fractal space-times under the microscope: A Renormalization Group view on Monte Carlo data
• General Covariance in Gravity at a Lifshitz Point
• Second- and First-Order Phase Transitions in CDT
• The Semiclassical Limit of Causal Dynamical Triangulations
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Conformal Lifshitz Gravity from Holography
• Dilaton Quantum Gravity
• Emergent Models for Gravity: an Overview of Microscopic Models
• Gauge hierarchy problem in asymptotically safe gravity--the resurgence mechanism
• Scaling solutions for Dilaton Quantum Gravity
• Quantum Gravity via Causal Dynamical Triangulations
• Asymptotic Safety, Fractals, and Cosmology
• Fractional and noncommutative spacetimes
• On the physical mechanism underlying Asymptotic Safety
• Complex network view of evolving manifolds
• Anomalous dimension in semiclassical gravity
• The effective action in 4-dim CDT. The transfer matrix approach
• Laplacians on discrete and quantum geometries
• The transfer matrix in four-dimensional CDT
• Coherent states for quantum gravity: towards collective variables
• Coupling a Point-Like Mass to Quantum Gravity with Causal Dynamical Triangulations
• FLRW Cosmology with Horava-Lifshitz Gravity: Impacts of Equations of State
• Wave equation on one-dimensional fractals with spectral decimation and the complex dynamics of polynomials
• Quantum Gravity in Plebanski Formulation