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Universal features of the Abelian Polyakov loop in 1+1 dimensions
Journal article   Open access   Peer reviewed

Universal features of the Abelian Polyakov loop in 1+1 dimensions

J Unmuth-Yockey, Jin Zhang, A Bazavov, Y Meurice and S.-W Tsai
Physical review. D, Vol.98(9), p.094511
11/2018
DOI: 10.1103/PhysRevD.98.094511
url
https://doi.org/10.1103/PhysRevD.98.094511View
Published (Version of record) Open Access

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 and find good agreement. We show that the energy gap produced by the insertion of the Polyakov loop obeys universal finite-size scaling which persists in the continuous-time limit. We briefly discuss the relevance of these results for quantum simulations.

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