Geometry of 4d Simplicial Quantum Gravity with a U(1) Gauge Field

Abstract

The geometry of 4D simplicial quantum gravity with a U(1) gauge field is studied numerically. The phase diagram shows a continuous transition when gravity is coupled with a U(1) gauge field. At the critical point measurements of the curvature distribution of S^4 space shows an inflated geometry with homogeneous and symmetric nature. Also, by choosing a 4-simplex and fixing the scalar curvature geometry of the space is measured.

Comments: 3 pages, 2 eps figure. Talked at Lattice 2000 (Gravity)