Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-01-04
Phys.Rev. D50 (1994) 7363-7371
Physics
High Energy Physics
High Energy Physics - Lattice
11 pages
Scientific paper
10.1103/PhysRevD.50.7363
We define a simplified version of Regge quantum gravity where the link lengths can take on only two possible values, both always compatible with the triangle inequalities. This is therefore equivalent to a model of Ising spins living on the links of a regular lattice with somewhat complicated, yet local interactions. The measure corresponds to the natural sum over all 2^links configurations, and numerical simulations can be efficiently implemented by means of look-up tables. In three dimensions we find a peak in the ``curvature susceptibility'' which grows with increasing system size. However, the value of the corresponding critical exponent as well as the behavior of the curvature at the transition differ from that found by Hamber and Williams for the Regge theory with continuously varying link lengths.
Fleming Tom
Gross Mark
Renken Ray
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