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Discrete Lorentzian Quantum Gravity
R. Loll
Just as for non-abelian gauge theories at strong coupling, discrete lattice methods are a natural tool in the study of non-perturbative quantum gravity. They have to reflect the fa…
Computer Simulations of 3d Lorentzian Quantum Gravity
J. Ambjorn, J. Jurkiewicz, R. Loll
We investigate the phase diagram of non-perturbative three-dimensional Lorentzian quantum gravity with the help of Monte Carlo simulations. The system has a first-order phase trans…
Non-perturbative 3d Lorentzian Quantum Gravity
J. Ambjorn, J. Jurkiewicz, R. Loll
We have recently introduced a discrete model of Lorentzian quantum gravity, given as a regularized non-perturbative state sum over simplicial Lorentzian space-times, each possessin…
Lorentzian and Euclidean Quantum Gravity - Analytical and Numerical Results
J. Ambjorn, J. Jurkiewicz, R. Loll
We review some recent attempts to extract information about the nature of quantum gravity, with and without matter, by quantum field theoretical methods. More specifically, we work…