Collapse of 4D random geometries

Details Collapse of 4D random geometries Collapse of 4D random geometries

1997-07-25

arxiv.org/abs/hep-lat/9707028v1

Phys.Lett. B416 (1998) 281-285

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, Latex2e, 2 figures (.eps)

Scientific paper

10.1016/S0370-2693(97)01336-1

We extend the analysis of the Backgammon model to an ensemble with a fixed number of balls and a fluctuating number of boxes. In this ensemble the model exhibits a first order phase transition analogous to the one in higher dimensional simplicial gravity. The transition relies on a kinematic condensation and reflects a crisis of the integration measure which is probably a part of the more general problem with the measure for functional integration over higher (d>2) dimensional Riemannian structures.

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