English

Effective $\mathbb{Z}_{3}$ model for finite-density QCD with tensor networks

High Energy Physics - Lattice 2021-10-19 v1

Abstract

The tensor renormalization group is a promising numerical method used to study lattice statistical field theories. However, this approach is computationally expensive in 2+1 and 3+1 dimensions. Here we use tensor renormalization group methods to study an effective three-dimensional Z3\mathbb{Z}_{3} model for the heavy-quark, high-temperature, strong-coupling limit of single-flavor 3+1 dimensional quantum chromodynamics. Our results are cross-checked using the worm Monte Carlo algorithm. We present the phase diagram of the model through the measurement of the Polyakov loop, the nearest-neighbor Polyakov loop correlator, and their susceptibilities. The tensor renormalization group results are in good agreement with the literature

Keywords

Cite

@article{arxiv.2110.09499,
  title  = {Effective $\mathbb{Z}_{3}$ model for finite-density QCD with tensor networks},
  author = {Jacques Bloch and Robert Lohmayer and Sophia Schweiss and Judah Unmuth-Yockey},
  journal= {arXiv preprint arXiv:2110.09499},
  year   = {2021}
}

Comments

8 pages, 5 figures, Lattice 2021 proceedings

R2 v1 2026-06-24T06:59:07.145Z