Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-09-17
Nucl.Phys.Proc.Suppl. 63 (1998) 763-765
Physics
High Energy Physics
High Energy Physics - Lattice
3 pages, LaTeX, 2 figures, uses espcrc2.sty, talk given at LATTICE97
Scientific paper
10.1016/S0920-5632(97)00897-9
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.
Bialas Piotr
Burda Zdzislaw
Johnston Dana A.
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