Further Evidence of a Smooth Phase in 4D Simplicial Quantum Gravity
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/9809028,
title = {Further Evidence of a Smooth Phase in 4D Simplicial Quantum Gravity},
author = {H. S. Egawa and A. Fujitsu and S. Horata and N. Tsuda and T. Yukawa},
journal= {arXiv preprint arXiv:hep-lat/9809028},
year = {2009}
}
Comments
3 pages, latex, 3 ps/eps figures, uses espcrc2.sty. Talk presented at LATTICE98(gravity)