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

doi:10.1016/0550-3213(96)00161-7

Nuclear Physics B

Volume 470, Issue 3, 1 July 1996, Pages 435-453

https://doi.org/10.1016/0550-3213(96)00161-7 Get rights and content

Abstract

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

Abstract

Nucl. Phys. B

Nucl. Phys. B

Phys. Lett. B

Physica A

Physica A

Nucl. Phys. B

Nucl. Phys. B

Phys. Lett. B

Nucl. Phys. B

Nucl. Phys. B

Phys. Rev. D

Nucl. Phys. B

Physica A

Phys. Rev. Lett.

J. Phys. Soc. Jpn.