Indications for Criticality at Zero Curvature in a 4d Regge Model of Euclidean Quantum Gravity

Details Indications for Criticality at Zero Curvature in a 4d Regge Model of Euclidean Quantum Gravity Indications for Criticality at Zero Curvature in a 4d Regge Model of Euclidean Quantum Gravity

2003-08-30

arxiv.org/abs/hep-lat/0309002v1

Nucl.Phys.Proc.Suppl.129:803-805,2004

Physics

High Energy Physics

High Energy Physics - Lattice

Contribution to the lattice 2003 Tsukuba symposium

Scientific paper

10.1016/S0920-5632(03)02718-X

We re-examine the approach to four-dimensional Euclidean quantum gravity based on the Regge calculus. A cut-off on the link lengths is introduced and consequently the gravitational coupling and the cosmological constant become independent parameters. We determine the zero curvature, $ =0$, line in the coupling constant plane by numerical simulations. When crossing this line we find a strong, probably first order, phase transition line with indications of a second order endpoint. Beyond the endpoint the transition through the $ =0$ line appears to be a crossover. Previous investigations, using the Regge or the Dynamical Triangulation approach, dealt with a limit in which the first order transition prevails.

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