TY - JOUR

T1 - Quantum gravity, dynamical triangulations and higher-derivative regularization

AU - Ambjørn, Jan

AU - Jurkiewicz, Jerzy

AU - Kristjansen, Charlotte Fløe

N1 - 27 pages (Latex), figures not included. Post script file containing 15 figures (1000 blocks) available from kristjansen@nbivax.nbi.dk.

PY - 1993/3/29

Y1 - 1993/3/29

N2 - We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action plus an R2 term. The phase diagram as a function of the bare coupling constants is studied in the search for a sensible continuum limit. For small values of the coupling constant of the R2 term the model seems to belong to the same universality class as the model with pure Einstein-Hilbert action and exhibits the same phase transition. The order of the transition may be second or higher. The average curvature is positive at the phase transition, which makes it difficult to understand the possible scaling relations of the model.

AB - We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action plus an R2 term. The phase diagram as a function of the bare coupling constants is studied in the search for a sensible continuum limit. For small values of the coupling constant of the R2 term the model seems to belong to the same universality class as the model with pure Einstein-Hilbert action and exhibits the same phase transition. The order of the transition may be second or higher. The average curvature is positive at the phase transition, which makes it difficult to understand the possible scaling relations of the model.

KW - hep-th

KW - hep-lat

U2 - 10.1016/0550-3213(93)90075-Z

DO - 10.1016/0550-3213(93)90075-Z

M3 - Journal article

VL - 393

SP - 601

EP - 629

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

SN - 0550-3213

IS - 3

ER -