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Manuscript Title: Simplicial quantum gravity on a computer.
Authors: S. Bilke, Z. Burda, J. Jurkiewicz
Program title: GRAVZ2, AUTOTUNE
Catalogue identifier: ACVO_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 85(1995)278
Programming language: Fortran.
Computer: PARAGON XP/S 10.
Operating system: OSF/1.
RAM: 400K words
Peripherals: disc.
Keywords: Astrophysics, Gravitational systems, Dynamical triangulation, Quantum gravity, Z2 gauge model.
Classification: 1.5.

Nature of problem:
Four dimensional dynamically triangulated random surfaces as a regularization of quantum gravity coupled to matter fields.

Solution method:
The program uses a standard dynamical Monte-Carlo scheme to produce configurations distributed according to the Gibbs measure of a discretized version of the Einstein Hilbert action with an additional term for a matter field. The geometry is updated by means of a set of elementary transformations based on Alexander moves, ergodic in the space of triangulations with fixed topology. A geometrical update is performed alternately with a heat-bath update for the matter sector.

Running time:
The time required for one update strongly depends on the coupling constants. Moreover it grows nonlinearly with a lattice size. In the critical region the time required to update the lattice including the matter sector is typically 150 mus and 500 mus per accepted move for lattices with 4000 and 8000 simplices respectively.