The Spectral Dimension of 2D Quantum Gravity
arXiv:hep-th/9801099 · doi:10.1088/1126-6708/1998/02/010
Abstract
We show that the spectral dimension d_s of two-dimensional quantum gravity coupled to Gaussian fields is two for all values of the central charge c <= 1. The same arguments provide a simple proof of the known result d_s= 4/3 for branched polymers.
7 pages, Latex
Cited by in corpus (37)
- Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
- Spectral Dimension of the Universe
- Reconstructing the Universe
- Nonperturbative Quantum Gravity
- Cosmology of the Lifshitz universe
- Statistical ensemble of scale-free random graphs
- Geometry and field theory in multi-fractional spacetime
- The spectral dimension of generic trees
- Liouville Brownian motion
- Euclidean and Lorentzian Quantum Gravity - Lessons from Two Dimensions
- Random walks on combs
- Exploring Euclidean Dynamical Triangulations with a Non-trivial Measure Term
- Fractal Geometry of Quantum Spacetime at Large Scales
- Evidence for Asymptotic Safety from Dimensional Reduction in Causal Dynamical Triangulations
- Liouville heat kernel: regularity and bounds
- How round is the quantum de Sitter universe?
- Emergence of the Circle in a Statistical Model of Random Cubic Graphs
- Observational constraints on dual intermediate inflation
- Entropy function and higher derivative corrections to entropies in (anti-)de Sitter space
- The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
- Upper bounds on Liouville first passage percolation and Watabiki's prediction
- Another derivation of the geometrical KPZ relations
- A causal perspective on random geometry
- Convergence of Combinatorial Gravity
- Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity
- The toroidal Hausdorff dimension of 2d Euclidean quantum gravity
- The spectral dimension of non-generic branched polymers
- The spectral dimension in 2D CDT gravity coupled to scalar fields
- Spectral dimension of trees with a unique infinite spine
- The spectral dimension of random brushes
- Liouville first passage percolation: the weight exponent is strictly less than 1 at high temperatures
- Non-universality for first passage percolation on the exponential of log-correlated Gaussian fields
- Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions
- Spectral Analysis of Causal Dynamical Triangulations via Finite Element Method
- Spectral dimension in graph models of causal quantum gravity
- Scaling and Quantum Geometry in 2d Gravity
- Exact Spectral Dimension of the Random Surface