Geometry of 4d Simplicial Quantum Gravity with a U(1) Gauge Field
H. S. Egawa, S. Horata, T. Yukawa
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 S4 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.
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