Phase diagram of four-dimensional dynamical triangulations with a boundary

Simeon Warner, Simon Catterall

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 S4. 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. (C) 2000 Published by Elsevier Science B.V.

Original languageEnglish (US)
Pages (from-to)389-394
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3-4
StatePublished - Nov 16 2000

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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