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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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

Scientific paper

10.1016/S0920-5632(01)00881-7

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.

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