Further Evidence of a Smooth Phase in 4D Simplicial Quantum Gravity

Details Further Evidence of a Smooth Phase in 4D Simplicial Quantum Gravity Further Evidence of a Smooth Phase in 4D Simplicial Quantum Gravity

1998-09-05

arxiv.org/abs/hep-lat/9809028v1

Nucl.Phys.Proc.Suppl. 73 (1999) 795-797

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, latex, 3 ps/eps figures, uses espcrc2.sty. Talk presented at LATTICE98(gravity)

Scientific paper

10.1016/S0920-5632(99)85206-2

Four-dimensional (4D) simplicial quantum gravity coupled to U(1) gauge fields has been studied using Monte-Carlo simulations. A negative string susceptibility exponent is observed beyond the phase-transition point, even if the number of vector fields (NV) is 1. We find a scaling relation of the boundary volume distributions in this new phase. This scaling relation suggests a fractal structure similar to that of 2D quantum gravity. Furthermore, evidence of a branched polymer-like structure is suggested far into the weak-coupling region, even for NV > 1. As a result, we propose new phase structures and discuss the possibility of taking the continuum limit in a certain region between the crumpled and branched polymer phases.

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