Lattice gravity and random surfaces

1998/09/16 by Gudmar Thorleifsson, Guðmar Þorleifsson
Mathematics · Physics and Astronomy · #Anisotropy #Black Holes and Theoretical Physics #Classical mechanics #Degenerate energy levels #Lattice (music) #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum gravity #Quantum mechanics #Statistical physics #Theoretical physics #gr-qc #hep-lat

paper · pdf · doi:10.1016/s0920-5632(99)85013-0

published as Nucl.Phys.Proc.Suppl. 73 (1999) 133-145 · 22 pages, Latex2e, 13 eps-figures. Review talk presented at LATTICE98 (Boulder)

arxiv created 1998/09/16 · openalex publication_date 1999/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

I review recent progress in simplicial quantum gravity in three and four dimensions, in particular new results on the phase structure of modified models of dynamical triangulations, the application of a strong-coupling expansion, and the benefits provided by including degenerate triangulations. In addition, I describe some recent numerical and analytical results on anisotropic crystalline membranes.

Citations

• Appearance of mother universe and singular vertices in random geometries
• Criticality and scaling in 4D quantum gravity
• 4D simplicial quantum gravity with a nontrivial measure
• General relativity without coordinates
• World-sheet geometry and baby universes in 2D quantum gravity
• Singular Vertices in the Strong Coupling Phase of Four-Dimensional Simplicial Gravity
• Nonuniform measure in four-dimensional simplicial quantum gravity
• Effects of self-avoidance on the tubular phase of anisotropic membranes
• On the exponential bound in four dimensional simplical gravity
• Elasticity, shape fluctuations, and phase transitions in the new tubule phase of anisotropic tethered membranes
• 3D quantum gravity coupled to matter
• Anisotropic membranes

Cited by

• Making a Universe