The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?

Details The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right? The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?

1995-01-06

arxiv.org/abs/hep-lat/9501004v1

Nucl.Phys.Proc.Suppl. 42 (1995) 725-727

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, self unpacking uuencoded PostScript file, contribution to LATTICE94

Scientific paper

10.1016/0920-5632(95)00363-E

We report a high statistics simulation of Ising spins coupled to 2D quantum gravity in the Regge calculus approach using triangulated tori with up to $512^2$ vertices. For the constant area ensemble and the $dl/l$ functional measure we definitively can exclude the critical exponents of the Ising phase transition as predicted for dynamically triangulated surfaces. We rather find clear evidence that the critical exponents agree with the Onsager values for static regular lattices, independent of the coupling strength of an $R^2$ interaction term. For exploratory simulations using the lattice version of the Misner measure the situation is less clear.

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