Phase diagram of four-dimensional dynamical triangulations with a boundary

Details Phase diagram of four-dimensional dynamical triangulations with a boundary Phase diagram of four-dimensional dynamical triangulations with a boundary

2000-08-14

arxiv.org/abs/hep-lat/0008015v1

Phys.Lett. B493 (2000) 389-394

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, latex

Scientific paper

10.1016/S0370-2693(00)01154-0

We report on simulations of DT simplicial gravity for manifolds with the topology of the 4-disk. We find evidence for four phases in a two-dimensional parameter space. In two of these the boundary plays no dynamical role and the geometries are equivalent to those observed earlier for the sphere $S^4$. In another phase the boundary is maximal and the quantum geometry degenerates to a one dimensional branched polymer. In contrast we provide evidence that the fourth phase is effectively three-dimensional. We find discontinuous phase transitions at all the phase boundaries.

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