TY - JOUR
T1 - Scaling and the fractal geometry of two-dimensional quantum gravity
AU - Catterall, S.
AU - Thorleifsson, G.
AU - Bowick, M.
AU - John, V.
N1 - Funding Information:
This researchw as supportedb y the Department of Energy, USA, under contract No. DE-FGOZ 85ER40237a nd by researchf unds from Syracuse University.W e would also like to acknowledgeth e useo f NPAC computationfaal cilitiesa ndt hev aluable helpo f Marco Falcioni.
PY - 1995/7/13
Y1 - 1995/7/13
N2 - We examine the scaling of geodesic correlation functions in two-dimensional gravity and in spin systems coupled to gravity. The numerial data support the scaling hypothesis and indicate that the quantum geometry develops a non-perturbative length scale. The existence of this length scale allows us to extract a Hausdorff dimension. In the case of pure gravity we find dH ≈ 3.8, in support of recent theoretical calculations that dH = 4. We also discuss the back-reaction of matter on the geometry.
AB - We examine the scaling of geodesic correlation functions in two-dimensional gravity and in spin systems coupled to gravity. The numerial data support the scaling hypothesis and indicate that the quantum geometry develops a non-perturbative length scale. The existence of this length scale allows us to extract a Hausdorff dimension. In the case of pure gravity we find dH ≈ 3.8, in support of recent theoretical calculations that dH = 4. We also discuss the back-reaction of matter on the geometry.
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U2 - 10.1016/0370-2693(95)00623-S
DO - 10.1016/0370-2693(95)00623-S
M3 - Article
AN - SCOPUS:0002312537
SN - 0370-2693
VL - 354
SP - 58
EP - 68
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-2
ER -