Scaling Behavior in 4D Simplicial Quantum Gravity

Details Scaling Behavior in 4D Simplicial Quantum Gravity Scaling Behavior in 4D Simplicial Quantum Gravity

1996-11-26

arxiv.org/abs/hep-lat/9611028v1

Prog.Theor.Phys. 97 (1997) 539-552

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, latex, 10 postscript figures, uses psfig.sty and cite.sty

Scientific paper

10.1143/PTP.97.539

Scaling relations in four-dimensional simplicial quantum gravity are proposed using the concept of the geodesic distance. Based on the analogy of a loop length distribution in the two-dimensional case, the scaling relations of the boundary volume distribution in four dimensions are discussed in three regions: the strong-coupling phase, the critical point and the weak-coupling phase. In each phase a different scaling behavior is found.

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