Clear Evidence of a Continuum Theory of 4D Euclidean Simplicial Quantum Gravity

Details Clear Evidence of a Continuum Theory of 4D Euclidean Simplicial Quantum Gravity Clear Evidence of a Continuum Theory of 4D Euclidean Simplicial Quantum Gravity

2001-10-11

arxiv.org/abs/hep-lat/0110042v1

Nucl.Phys.Proc.Suppl. 106 (2002) 971-973

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, LaTeX, Lattice2001(surfaces)

Scientific paper

Four-dimensional (4D) simplicial quantum gravity coupled to both scalar fields (N_X) and gauge fields (N_A) has been studied using Monte-Carlo simulations. The matter dependence of the string susceptibility exponent gamma^{(4)} is estimated. Furthermore, we compare our numerical results with Background-Metric-Independent (BMI) formulation conjectured to describe the quantum field theory of gravity in 4D. The numerical results suggest that the 4D simplicial quantum gravity is related to the conformal gravity in 4D. Therefore, we propose a phase structure in detail with adding both scalar and gauge fields and discuss the possibility and the property of a continuum theory of 4D Euclidean simplicial quantum gravity.

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