Universal features of the Abelian Polyakov loop in dimensions
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.
- Authors:
- Publication Date:
- Research Org.:
- Syracuse Univ., NY (United States); Univ. of Iowa, Iowa City, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1483457
- Alternate Identifier(s):
- OSTI ID: 1611298
- Grant/Contract Number:
- SC0010113; SC0009998; DMR-1411345
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Lattice field theory; Quantum simulation; Conformal symmetry; Density matrix renormalization group; Finite-size scaling; Monte Carlo methods; Tensor network renormalization
Citation Formats
Unmuth-Yockey, J., Zhang, Jin, Bazavov, A., Meurice, Y., and Tsai, S. -W. Universal features of the Abelian Polyakov loop in 1 + 1 dimensions. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.094511.
Unmuth-Yockey, J., Zhang, Jin, Bazavov, A., Meurice, Y., & Tsai, S. -W. Universal features of the Abelian Polyakov loop in 1 + 1 dimensions. United States. https://doi.org/10.1103/PhysRevD.98.094511
Unmuth-Yockey, J., Zhang, Jin, Bazavov, A., Meurice, Y., and Tsai, S. -W. Tue .
"Universal features of the Abelian Polyakov loop in 1 + 1 dimensions". United States. https://doi.org/10.1103/PhysRevD.98.094511.
@article{osti_1483457,
title = {Universal features of the Abelian Polyakov loop in 1 + 1 dimensions},
author = {Unmuth-Yockey, J. and Zhang, Jin and Bazavov, A. and Meurice, Y. and Tsai, S. -W.},
abstractNote = {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.},
doi = {10.1103/PhysRevD.98.094511},
journal = {Physical Review D},
number = 9,
volume = 98,
place = {United States},
year = {Tue Nov 27 00:00:00 EST 2018},
month = {Tue Nov 27 00:00:00 EST 2018}
}
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https://doi.org/10.1103/PhysRevD.98.094511
https://doi.org/10.1103/PhysRevD.98.094511
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Cited by: 30 works
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