Ising spins coupled to a four-dimensional discrete Regge skeleton

Details Ising spins coupled to a four-dimensional discrete Regge skeleton Ising spins coupled to a four-dimensional discrete Regge skeleton

2002-05-22

arxiv.org/abs/hep-lat/0205023v1

Phys.Rev.D66:024008,2002

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 7 figures

Scientific paper

10.1103/PhysRevD.66.024008

Regge calculus is a powerful method to approximate a continuous manifold by a simplicial lattice, keeping the connectivities of the underlying lattice fixed and taking the edge lengths as degrees of freedom. The discrete Regge model employed in this work limits the choice of the link lengths to a finite number. To get more precise insight into the behavior of the four-dimensional discrete Regge model, we coupled spins to the fluctuating manifolds. We examined the phase transition of the spin system and the associated critical exponents. The results are obtained from finite-size scaling analyses of Monte Carlo simulations. We find consistency with the mean-field theory of the Ising model on a static four-dimensional lattice.

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