1997/09/17 by P. Białas, P. Bialas, Z. Burda +2 · 2 citations
Engineering · Physics and Astronomy · #Advanced Materials and Mechanics #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc #hep-lat
paper · pdf · doi:10.1016/s0920-5632(97)00897-9
published as Nucl.Phys.Proc.Suppl. 63 (1998) 763-765 · 3 pages, LaTeX, 2 figures, uses espcrc2.sty, talk given at LATTICE97
arxiv created 1997/09/17 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Four dimensional simplicial gravity has been studied by means of Monte Carlo simulations for some time, the main outcome of the studies being that the model undergoes a discontinuous phase transition between an elongated and a crumpled phase when one changes the curvature (Newton) coupling. In the crumpled phase there are singular vertices growing extensively with the volume of the system whereas the elongated phase resembles a branched-polymer. We have postulated that this behaviour is a manifestation of the constrained-mean-field scenario as realised in the Branched Polymer or Balls-in-Boxes model. These models share all the features of 4D simplicial gravity except that they exhibit a continuous phase transition. We note here that this defect can be remedied by a suitable choice of ensemble.