Deconfinement transition and dimensional cross-over in the 3D gauge Ising model

Details Deconfinement transition and dimensional cross-over in the 3D gauge Ising model Deconfinement transition and dimensional cross-over in the 3D gauge Ising model

1995-11-11

arxiv.org/abs/hep-lat/9511015v2

Nucl.Phys. B470 (1996) 435-453

Physics

High Energy Physics

High Energy Physics - Lattice

latex file of 21 pages plus 1 ps figure. Minor corrections in the figure. Text unchanged

Scientific paper

10.1016/0550-3213(96)00161-7

We present a high precision Monte Carlo study of the finite temperature $Z_2$ gauge theory in 2+1 dimensions. The duality with the 3D Ising spin model allows us to use powerful cluster algorithms for the simulations. For temporal extensions up to $N_t=16$ we obtain the inverse critical temperature with a statistical accuracy comparable with the most accurate results for the bulk phase transition of the 3D Ising model. We discuss the predictions of T. W. Capehart and M.E. Fisher for the dimensional crossover from 2 to 3 dimensions. Our precise data for the critical exponents and critical amplitudes confirm the Svetitsky-Yaffe conjecture. We find deviations from Olesen's prediction for the critical temperature of about 20%.

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