Geometry of 4d Simplicial Quantum Gravity with a U(1) Gauge Field
High Energy Physics - Lattice
2009-10-31 v2
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.
Keywords
Cite
@article{arxiv.hep-lat/0010050,
title = {Geometry of 4d Simplicial Quantum Gravity with a U(1) Gauge Field},
author = {H. S. Egawa and S. Horata and T. Yukawa},
journal= {arXiv preprint arXiv:hep-lat/0010050},
year = {2009}
}
Comments
3 pages, 2 eps figure. Talked at Lattice 2000 (Gravity)