The Geometry of the Elongated Phase in 4-D Simplicial Quantum Gravity

Details The Geometry of the Elongated Phase in 4-D Simplicial Quantum Gravity The Geometry of the Elongated Phase in 4-D Simplicial Quantum Gravity

1997-11-11

arxiv.org/abs/hep-lat/9711018v2

Physics

High Energy Physics

High Energy Physics - Lattice

RevTex, 10 pages, no figures, the document style has been changed

Scientific paper

We discuss the elongated phase of 4D simplicial quantum gravity by exploiting recent analytical results. In particular using Walkup's theorem we prove that the dominating configurations in the elongated phase are tree-like structures called "stacked spheres". Such configurations can be mapped into branched polymers and baby universes arguments are used in order to analyse the critical behaviour of theory in the weak coupling regime.

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