2000/11/21 by R. Loll · 2 citations
Mathematics · Physics and Astronomy · #Asymptotic safety in quantum gravity #Black Holes and Theoretical Physics #Classical mechanics #Euclidean geometry #Euclidean quantum gravity #Geometry #Hořava–Lifshitz gravity #Immirzi parameter #Loop quantum gravity #Mathematics #Noncommutative and Quantum Gravity Theories #Open quantum system #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum dynamics #Quantum geometry #Quantum gravity #Quantum mechanics #Quantum operation #Quantum process #Semiclassical gravity #Spin foam #Theoretical physics #gr-qc #hep-lat #hep-th
paper · pdf · doi:10.1016/s0920-5632(01)00957-4
published as Nucl.Phys.Proc.Suppl. 94 (2001) 96-107 · 12 pages, 11 figures, uses espcrc2.sty; Lattice 2000 (Plenary)
arxiv created 2000/11/21 · openalex publication_date 2001/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 fact that the geometric degrees of freedom are dynamical, and that therefore also the lattice theory must be formulated in a background-independent way. After summarizing the status quo of discrete covariant lattice models for four-dimensional quantum gravity, I describe a new class of discrete gravity models whose starting point is a path integral over Lorentzian (rather than Euclidean) space-time geometries. A number of interesting and unexpected results that have been obtained for these dynamically triangulated models in two and three dimensions make discrete Lorentzian gravity a promising candidate for a non-trivial theory of quantum gravity.