Title

Phase Diagram of Four-Dimensional Dynamical Triangulations with a Boundary

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
Simeon Warner, Los Alamos National Laboratory

Document Type

Article

Date

8-14-2000

Language

English

Disciplines

Physics

Description/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.

Additional Information

13 pages, latex More information at http://arxiv.org/abs/hep-lat/0008015

Recommended Citation

Catterall, Simon and Warner, Simeon, "Phase Diagram of Four-Dimensional Dynamical Triangulations with a Boundary" (2000). Physics - All Scholarship. 470.
https://surface.syr.edu/phy/470

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.