Universal features of the Abelian Polyakov loop in 1+1 dimension
High Energy Physics - Lattice
2018-12-05 v1
Abstract
We show that the Polyakov loop of the two-dimensional lattice Abelian Higgs model can be calculated using the tensor renormalization group approach. We check the accuracy of the results using standard Monte Carlo simulations. We show that the energy gap produced by the insertion of the Polyakov loop obeys universal finite-size scaling which persists in the time continuum limit. We briefly discuss the relevance of these results for quantum simulations.
Cite
@article{arxiv.1807.09186,
title = {Universal features of the Abelian Polyakov loop in 1+1 dimension},
author = {Judah Unmuth-Yockey and Jin Zhang and Alexei Bazavov and Yannick Meurice and Shan-Wen Tsai},
journal= {arXiv preprint arXiv:1807.09186},
year = {2018}
}
Comments
10 pages, 11 figures, 1 table