Three-dimensional finite temperature Z2 gauge theory with tensor network scheme

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JHEP08(2019)023

We have applied the tensor network scheme to a study of 3D finite temperature Z 2 gauge

theory. Its efficiency is demonstrated by a numerical study of the critical properties of

the 3D Z2 gauge theory. The tensor network scheme enables us to make a large scale of

finite size scaling analysis with the wide range of Nσ thanks to the ln V dependence of the

computational cost, which allows us a precise and reliable estimation of the critical point

and the critical exponent at the thermodynamic limit. This is the first successful application

of the tensor network scheme to one of the simplest 3D lattice gauge theories. Next step

may be the extension of this approach to the gauge theories with continuous groups.

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