The toroidal Hausdorff dimension of 2d Euclidean quantum gravity

DOI10.1016/j.physletb.2013.06.009zbMath1331.81116arXiv1305.3674OpenAlexW2092048056MaRDI QIDQ5963837

Timothy Budd, J. A. Ambjørn

Publication date: 23 February 2016

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3674

zbMATH Keywords

quantum gravitylattice modelslower dimensional models

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Gravitational interaction in quantum theory (81V17) Path integrals in quantum mechanics (81S40) Quantum field theory on lattices (81T25) Analogues of general relativity in lower dimensions (83C80) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (5)

Geodesic distances in Liouville quantum gravity ⋮ Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations ⋮ Hausdorff dimension of fermions on a random lattice ⋮ Nesting statistics in the \(O(n)\) loop model on random planar maps ⋮ Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity

Cites Work

• Roaming moduli space using dynamical triangulations
• String field theory of \(c\leqq 1\) noncritical strings
• The quantum space-time of \(c=-2\) gravity
• Scaling in quantum gravity
• On the fractal structure of two-dimensional quantum gravity
• Quantum Geometry
• Fractal structure of two-dimensional gravity coupled to c=-2 matter

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