Dynamically triangulating Lorentzian quantum gravity
From MaRDI portal
Publication:5942542
DOI10.1016/S0550-3213(01)00297-8zbMath0971.83022arXivhep-th/0105267OpenAlexW3105790729WikidataQ112176400 ScholiaQ112176400MaRDI QIDQ5942542
Jerzy Jurkiewicz, J. A. Ambjørn, Renate Loll
Publication date: 29 August 2001
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0105267
Lorentzian spacetime regularizationnon-perturbative gravitational path integralnon-perturbative Wick rotation
Quantization of the gravitational field (83C45) Applications of global differential geometry to the sciences (53C80)
Related Items
On a renormalization group scheme for causal dynamical triangulations ⋮ The structure of spatial slices of 3-dimensional causal triangulations ⋮ Making the case for causal dynamical triangulations ⋮ Complex actions and causality violations: applications to Lorentzian quantum cosmology ⋮ Asymptotic safety on the lattice: The nonlinear \(\mathrm O(N)\) sigma model ⋮ Spacetime condensation in (2+1)-dimensional CDT from a Hořava–Lifshitz minisuperspace model ⋮ \(\Psi\)-epistemic quantum cosmology? ⋮ The asymptotic safety scenario in quantum gravity ⋮ The phase diagram of the multi-matrix model with \textit{ABAB} interaction from functional renormalization ⋮ A statistical formalism of causal dynamical triangulations ⋮ The phase structure of causal dynamical triangulations with toroidal spatial topology ⋮ Gauge fixing in causal dynamical triangulations ⋮ A quantization of topological \(\mathcal M\) theory ⋮ Taming the cosmological constant in 2D causal quantum gravity with topology change ⋮ Effective dynamics of scalar cosmological perturbations from quantum gravity ⋮ Implementing causality in the spin foam quantum geometry ⋮ Universal critical behavior in tensor models for four-dimensional quantum gravity ⋮ A second look at transition amplitudes in (2 + 1)-dimensional causal dynamical triangulations ⋮ The spectral geometry of de Sitter space in asymptotic safety ⋮ Quantum Riemannian geometry of the discrete interval and q-deformation ⋮ The phase structure and effective action of 3D CDT at higher spatial genus ⋮ Rainbow Rindler metric and Unruh effect ⋮ A matrix model for 2D quantum gravity defined by causal dynamical triangulations ⋮ Causal cells: spacetime polytopes with null hyperfaces ⋮ Putting a cap on causality violations in causal dynamical triangulations ⋮ Renormalization of 3d quantum gravity from matrix models ⋮ Pseudo-topological transitions in 2D gravity models coupled to massless scalar fields ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Semiclassical universe from first principles ⋮ 10D Euclidean dynamical triangulations ⋮ Melons are branched polymers ⋮ Symmetry and evolution in quantum gravity ⋮ A generalization of the Virasoro algebra to arbitrary dimensions ⋮ Towards a double scaling limit for tensor models: probing sub-dominant orders ⋮ The nonperturbative functional renormalization group and its applications ⋮ Extracting geometry from quantum spacetime. Obstacles down the road ⋮ Asymptotic safety and quantum gravity amplitudes ⋮ Spectroscopy of a canonically quantized horizon ⋮ CDT open-closed surface field theory of a 3D tensor-matrix model ⋮ Exponential bounds on the number of causal triangulations ⋮ Analogue gravity ⋮ Quantum Riemannian geometry and particle creation on the integer line ⋮ Towards background independent quantum gravity with tensor models ⋮ Quantum gravity on a square graph ⋮ Quantum gravity from causal dynamical triangulations: a review ⋮ Quantum gravity on polygons and R×Zn FLRW model * ⋮ Fuzzy and discrete black hole models* ⋮ Effective spin foam models for Lorentzian quantum gravity ⋮ Scalar fields in causal dynamical triangulations ⋮ World quantum gravity: quantum test objects and Synge’s world function ⋮ Introduction to Causal Dynamical Triangulations ⋮ Thermodynamics of Reissner-Nordström black holes in higher dimensions: rainbow gravity background with general uncertainty principle ⋮ The semiclassical limit of causal dynamical triangulations ⋮ Fixed-topology Lorentzian triangulations: Quantum Regge Calculus in the Lorentzian domain ⋮ Realizability of the Lorentzian \((n, 1)\)-simplex ⋮ A proper-time cure for the conformal sickness in quantum gravity ⋮ Dynamically triangulating Lorentzian quantum gravity ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Quantum gravity in \(2+1\) dimensions: the case of a closed universe ⋮ Shaken, but not stirred-Potts model coupled to quantum gravity ⋮ Strings, quantum gravity and non-commutative geometry on the lattice ⋮ Quantum gravity and matter: counting graphs on causal dynamical triangulations ⋮ Compact gauge fields on causal dynamical triangulations: a 2D case study ⋮ Universality of 2d causal dynamical triangulations ⋮ Continuum interpretation of the dynamical-triangulation formulation of quantum Einstein gravity ⋮ Euclidian 4d quantum gravity with a non-trivial measure term ⋮ Quantum gravity as a Fermi liquid ⋮ THE SELF-ORGANIZED DE SITTER UNIVERSE ⋮ Iterated foldings of discrete spaces and their limits: candidates for the role of Brownian map in higher dimensions ⋮ Towards an UV fixed point in CDT gravity ⋮ Canonical Quantization of General Relativity in Discrete Space-Times ⋮ The higher-order phase transition in toroidal CDT ⋮ Discrete gravity ⋮ Emergent cosmology from quantum gravity in the Lorentzian Barrett-Crane tensorial group field theory model
Cites Work
- Unnamed Item
- Unnamed Item
- Discrete approaches to quantum gravity in four dimensions
- Non-perturbative Lorentzian quantum gravity, causality and topology change
- Crumpled triangulations and critical points in 4D simplicial quantum gravity
- Integrable 2D Lorentzian gravity and random walks
- Euclidean and Lorentzian quantum gravity -- lessons from two dimensions
- Singular vertices and the triangulation space of the \(D\)-sphere
- Nonperturbative Lorentzian Path Integral for Gravity
- The Geometry of Dynamical Triangulations
- Quantum gravity represented as dynamical triangulations
- Three- and four-dimensional simplicial quantum gravity
- Recent progress in Regge calculus
- The relation between Euclidean and Lorentzian 2D quantum gravity
- A proper-time cure for the conformal sickness in quantum gravity
- Dynamically triangulating Lorentzian quantum gravity