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 -