Three-dimensional finite temperature Z$_2$ gauge theory with tensor network scheme

Yoshinobu Kuramashi; Yusuke Yoshimura

doi:10.1007/JHEP08(2019)023

Three-dimensional finite temperature Z$_2$ gauge theory with tensor network scheme

High Energy Physics - Lattice 2019-09-04 v3

Authors: Yoshinobu Kuramashi , Yusuke Yoshimura

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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.

Keywords

finite temperature field theory deconfinement transition critical phenomena

Cite

@article{arxiv.1808.08025,
  title  = {Three-dimensional finite temperature Z$_2$ gauge theory with tensor network scheme},
  author = {Yoshinobu Kuramashi and Yusuke Yoshimura},
  journal= {arXiv preprint arXiv:1808.08025},
  year   = {2019}
}

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