The spectral dimension of 2D quantum gravity

1998/01/15 by J. Ambjørn, J. Ambjorn, Jakob Lindberg Nielsen +6 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Classical mechanics #Dimension (graph theory) #Epistemology #Gaussian #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Simple (philosophy) #Statistical physics #Theoretical physics #gr-qc #hep-lat #hep-th

paper · pdf · doi:10.1088/1126-6708/1998/02/010

published as JHEP 9802:010,1998 · 7 pages, Latex

arxiv created 1998/01/15 · openalex publication_date 1998/02/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Cited by

• The spectral dimension of non-generic branched polymers
• Evidence for asymptotic safety from dimensional reduction in causal dynamical triangulations
• Recurrence of Distributional Limits of Finite Planar Graphs