Quantum Gravity, Dynamical Triangulation and Higer Derivative Regularization

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

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 $R^2$-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 $R^2$ 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.
TidsskriftNuclear Physics B
Udgave nummer3
Sider (fra-til)601-629
StatusUdgivet - 12 aug. 1992

Bibliografisk note

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


  • hep-th, hep-lat

ID: 186915086