1998/08/31 by Simeon Warner, Simon Catterall, Ray L. Renken +1 · 3 citations
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Boundary (topology) #Condensed matter physics #Diagram #Material Dynamics and Properties #Mathematical analysis #Mathematics #Monte Carlo method #Phase (matter) #Phase boundary #Phase diagram #Phase transition #Physics #Quantum mechanics #Simple (philosophy) #Statistical physics #Theoretical and Computational Physics #Topological and Geometric Data Analysis #hep-lat
paper · pdf · open access · doi:10.1016/s0370-2693(98)01216-7
published in Physics Letters B 442(1-4), 266-272 (Elsevier BV) · 9 pages, 5 EPS figures. v2 corrects typos in table 1
openalex publication_date 1998/12/01 · arxiv created 2000/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use Monte Carlo simulation to study the phase diagram of three-dimensional dynamical triangulations with a boundary. Three phases are indentified and characterized. One of these phases is a new, boundary dominated phase; a simple argument is presented to explain its existence. First-order transitions are shown to occur along the critical lines separating phases.