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RESEARCH PRODUCT
The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?
Christian HolmWolfhard JankeWolfhard Jankesubject
PhysicsNuclear and High Energy PhysicsPhase transitionHigh Energy Physics - Lattice (hep-lat)FOS: Physical sciencesRegge calculusTorusAtomic and Molecular Physics and OpticsHigh Energy Physics - LatticeLattice (order)Ising spinQuantum gravityIsing modelCritical exponentMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-01-06 |