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Deconfinement transition and dimensional cross-over in the 3D gauge Ising model
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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 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%.
Forward citations
Cited by 3 Pith papers
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Deconfinement from Thermal Tensor Networks: Universal CFT signature in (2+1)-dimensional $\mathbb{Z}_N$ lattice gauge theory
Tensor-network contraction of finite-temperature Z_N gauge theory yields central charges and scaling dimensions consistent with Svetitsky–Yaffe universality for N=2,3,5, including a U(1)-symmetric BKT phase for N=5, a...
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Numerical study of the dimensionally reduced 3D Ising model
A Monte Carlo study shows that 3D Ising slabs with finite thickness N_z have 2D Ising critical exponents, with T_c varying smoothly from the 2D to the 3D value.
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Duality and entanglement in lattice gauge theories
The continuum entropic c-function of the 2+1 dimensional Z2 gauge theory is reported to show a power-law short-distance regime and an exponential large-distance decay, with a crossover near l m_g = 1.
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