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Three-dimensional finite temperature Z$_2$ gauge theory with tensor network scheme
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abstract
We apply a tensor network scheme to finite temperature Z$_2$ gauge theory in 2+1 dimensions. Finite size scaling analysis with the spatial extension up to $N_{\sigma}=4096$ at the temporal extension of $N_\tau=2,3,5$ allows us to determine the transition temperature and the critical exponent $\nu$ at high level of precision, which shows the consistency with the Svetitsky-Yaffe conjecture.
Forward citations
Cited by 2 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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