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

1997/11/11 by Gabriele Gionti, Gionti, Gabriele
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #gr-qc #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.hep-lat/9711018

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

arxiv created 1997/11/13 · arxiv updated 2009/11/30

Abstract

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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