The spectral dimension of the branched polymers phase of two-dimensional quantum gravity

Abstract

The metric of two-dimensional quantum gravity interacting with conformal matter is believed to collapse to a branched polymer metric when the central charge c>1. We show analytically that the spectral dimension of such a branched polymer phase is four thirds. This is in good agreement with numerical simulations for large c.

29 pages plain LateX2e, 7 eps figures included using epsf

References in corpus (1)

• Quantum geometry of 2d gravity coupled to unitary matter

Cited by in corpus (38)

• 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
• Melons are branched polymers
• Geometry and field theory in multi-fractional spacetime
• Phase Transition in Dually Weighted Colored Tensor Models
• Simplicial complexes: higher-order spectral dimension and dynamics
• Thermodynamics of photons on fractals
• Synchronization in Network Geometries with Finite Spectral Dimension
• Multifractional theories: an unconventional review
• The spectral dimension of generic trees
• The spectral dimension of simplicial complexes: a renormalization group theory
• Euclidean and Lorentzian Quantum Gravity - Lessons from Two Dimensions
• Physical Consequences of Complex Dimensions of Fractals
• Complex network view of evolving manifolds
• Random walks on combs
• The spectral dimension of random trees
• Exploring Euclidean Dynamical Triangulations with a Non-trivial Measure Term
• Evidence for Asymptotic Safety from Dimensional Reduction in Causal Dynamical Triangulations
• The higher-order spectrum of simplicial complexes: a renormalization group approach
• Emergence of the Circle in a Statistical Model of Random Cubic Graphs
• The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
• Convergence of Combinatorial Gravity
• Euclidean Dynamical Triangulations Revisited
• Exotic trees
• $(D+1)$-Colored Graphs - a Review of Sundry Properties
• The spectral dimension of non-generic branched polymers
• The spectral dimension of random brushes
• Scaling analyses of the spectral dimension in 3-dimensional causal dynamical triangulations
• Spectral dimension of trees with a unique infinite spine
• On the growth of bounded trees
• Local topological moves determine global diffusion properties of hyperbolic higher-order networks
• Spectral dimension in graph models of causal quantum gravity
• Scaling and Quantum Geometry in 2d Gravity
• Exact Spectral Dimension of the Random Surface