Simplicial quantum gravity in the elongated phase

Details Simplicial quantum gravity in the elongated phase Simplicial quantum gravity in the elongated phase

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998jmp....39.6593g&link_type=abstract

Journal of Mathematical Physics, Volume 39, Issue 12, pp. 6593-6602 (1998).

Mathematics

Mathematical Physics

Quantum Gravity, Relativity And Gravitation

Scientific paper

We discuss the elongated phase of four-dimensional 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 treelike structures called ``stacked spheres.'' Such configurations can be mapped into branched polymers and baby universes arguments are used in order to analyze the critical behavior of theory in the weak coupling regime.

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