Non-perturbative two-dimensional quantum gravity, again

Non-Perturbative Two-Dimensional Quantum Gravity, Again

Non-Perturbative Renormalization Group Flows in Two-Dimensional Quantum Gravity

Recently a block spin renormalization group approach was proposed for the dynamical triangulation formulation of two-dimensional quantum gravity. We use this approach to examine non-perturbatively a particular class of higher derivative actions for pure gravity. PACS numbers: 04.60.+n, 05.70.Jk, 11.10.Gh

Perturbative approach to the two-dimensional quantum gravity

The main part of this presentation is a review of the original works [14, 15, 16, 17, 18, 19] on the perturbative approach to the 2-dimensional quantum gravity. We discuss the renormalization of the two-dimensional dilaton gravity in a covariant gauge, the form of the quantum corrections to the classical potential, and the conditions of Weyl invariance in a theory of string coupled to 2d quantu...

Non-perturbative Solutions for Lattice Quantum Gravity

We propose a new, discretized model for the study of 3+1-dimensional canonical quantum gravity, based on the classical SL(2,C)-connection formulation. The discretization takes place on a topological N3-lattice with periodic boundary conditions. All operators and wave functions are constructed from one-dimensional link variables, which are regarded as the fundamental building blocks of the theor...

Non-perturbative 3d Lorentzian Quantum Gravity

We have recently introduced a discrete model of Lorentzian quantum gravity, given as a regularized non-perturbative state sum over simplicial Lorentzian spacetimes, each possessing a unique Wick rotation to Euclidean signature. We investigate here the phase structure of the Wick-rotated path integral in three dimensions with the aid of computer simulations. After fine-tuning the cosmological co...