Generalised spectral dimensions in non-perturbative quantum gravity

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...

Non-Perturbative Two-Dimensional Quantum Gravity, Again

Non-perturbative Methods in Quantum Field Theory and Quantum Gravity

Title of dissertation: NON-PERTURBATIVE METHODS IN QUANTUM FIELD THEORY AND QUANTUM GRAVITY Anton de la Fuente, Doctor of Philosophy, 2016 Dissertation directed by: Professor Raman Sundrum Department of Physics This thesis considers non-perturbative methods in quantum field theory with applications to gravity and cosmology. In particular, there are chapters on black hole holography, inflationar...

Perturbative Noncommutative Quantum Gravity

We study perturbative noncommutative quantum gravity by expanding the gravitational field about a fixed classical background. A calculation of the one loop gravitational self-energy graph reveals that only the non-planar graviton loops are damped by oscillating internal momentum dependent factors. The noncommutative quantum gravity perturbation theory is not renormalizable beyond one loop for m...