Deconfinement transition and dimensional crossover in the 3D gauge Ising model
Abstract
We present a highprecision Monte Carlo study of the finitetemperature 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 of 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 SvetitskyYaffe conjecture. We find deviations from Olesen's prediction for the critical temperature of about 20%.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)001617
 arXiv:
 arXiv:heplat/9511015
 Bibcode:
 1996NuPhB.470..435C
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 latex file of 21 pages plus 1 ps figure. Minor corrections in the figure. Text unchanged