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most citedTwo-Dimensional Lattice Gravity as a Spin System

12 citations · 50 across the 12 of their papers we have counts for

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hep-lat2003

Indications for Criticality at Zero Curvature in a 4d Regge Model of Euclidean Quantum Gravity

Wolfgang Beirl, Bernd A. Berg

We re-examine the approach to four-dimensional Euclidean quantum gravity based on the Regge calculus. A cut-off on the link lengths is introduced and consequently the gravitational…

hep-lat2001

A Regularization of Quantum Gravity

Wolfgang Beirl, Bernd A. Berg

We re-examine results of the Liouville theory and provide arguments that a {\it negative} bare cosmological constant is essential to define two-dimensional quantum gravity. From th…

hep-lat1996★ 2 cited

2D Lorentzian Gravity as 2D Euclidean Gravity with Ising Spins

W. Beirl, D. A. Johnston

We suggest a generalization of the dynamical triangulation approach to quantum gravity with both timelike and spacelike edges, which can serve as a toy model for quantum gravity in…

hep-lat1995★ 5 cited

The phase structure of pure Regge gravity

W. Beirl, A. Hauke, P. Homolka +4

We examine the phase structure of pure Regge gravity in four dimensions and compare our Monte Carlo results with -link Regge-theory as well as with another formulation of latt…

hep-lat1995★ 11 cited

Is There Quantum Gravity in Two Dimensions?

Wolfgang Beirl, Bernd A. Berg

A hybrid model which allows to interpolate between the (original) Regge approach and dynamical triangulations is introduced. The gained flexibility in the measure is exploited to s…

hep-lat1994★ 1 cited

SU(2) potentials in quantum gravity

W. Beirl, B. A. Berg, B. Krishnan +2

We present investigations of the potential between static charges from a simulation of quantum gravity coupled to an SU(2) gauge field on and simpli…

hep-lat1994★ 12 cited

Regge gravity on general triangulations

Wolfgang Beirl, Harald Markum, J"urgen Riedler

We investigate quantum gravity in four dimensions using the Regge approach on triangulations of the four-torus with general, non-regular incidence matrices. We find that the simpli…

hep-lat1994

Nonperturbative Studies of Quantum Gravity

J. Riedler

One of several possibilities to construct a quantum theory of gravity is employing the Feynman path integral. This approach is plagued by some problems: the integration measure is…

hep-lat1993★ 12 cited

Two-Dimensional Lattice Gravity as a Spin System

W. Beirl, H. Markum, J. Riedler

Quantum gravity is studied in the path integral formulation applying the Regge calculus. Restricting the quadratic link lengths of the originally triangular lattice the path integr…

hep-lat1993

Nonperturbative Studies of Quantum Gravity

Wolfgang Beirl, Harald Markum, Juergen Riedler

We investigate quantum gravity in the path integral formulation using the Regge calculus. Restricting the quadratic link lengths of the originally triangular lattice the path integ…

hep-lat1993★ 1 cited

On the Measure of Simplicial Quantum Gravity in Four Dimensions

W. Beirl, H. Markum, J. Riedler

We study quantum gravity in the path-integral formulation using the Regge calculus. In spite of the unbounded gravitational action the existence of an entropy-dominated phase is co…

hep-lat1992★ 6 cited

Gravitational Action Versus Entropy on Simplicial Lattices in Four Dimensions

W. Beirl, E. Gerstenmayer, H. Markum +1

We investigate quantum gravity on simplicial lattices using Regge calculus with special emphasize on the problem of the unbounded action. The role of the entropy for the path integ…