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arXiv · hep-lat/0008015

Phase diagram of four-dimensional dynamical triangulations with a boundary

Simeon Warner·Simon Catterall
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Abstract

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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Simeon Warner, Simon Catterall. 2000-08-14. Phase diagram of four-dimensional dynamical triangulations with a boundary. https://doi.org/10.1016/s0370-2693(00)01154-0

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