Tensor network formulation of the massless Schwinger model with staggered fermions
Abstract
We construct a tensor network representation of the partition function for the massless Schwinger model on a two-dimensional lattice using staggered fermions. The tensor network representation allows us to include a topological term. Using a particular implementation of the tensor renormalization group we calculate the average plaquette and topological charge density for the theory. For a range of values of the coupling constant for the topological term, Θ, and the gauge coupling, β, we compare with results from hybrid Monte Carlo simulations when possible and find good agreement. In order to further understand the role of fermions and topology in this model, we compare calculations of the same observables in a similar model, the Abelian Higgs model.
- Publication Date:
- Research Org.:
- Syracuse Univ., NY (United States); Univ. of Iowa, Iowa City, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1630786
- Alternate Identifier(s):
- OSTI ID: 1802000; OSTI ID: 1834387
- Grant/Contract Number:
- SC0019139; SC0009998
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 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
Citation Formats
Butt, Nouman, Catterall, Simon, Meurice, Yannick, Sakai, Ryo, and Unmuth-Yockey, Judah. Tensor network formulation of the massless Schwinger model with staggered fermions. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.094509.
Butt, Nouman, Catterall, Simon, Meurice, Yannick, Sakai, Ryo, & Unmuth-Yockey, Judah. Tensor network formulation of the massless Schwinger model with staggered fermions. United States. https://doi.org/10.1103/PhysRevD.101.094509
Butt, Nouman, Catterall, Simon, Meurice, Yannick, Sakai, Ryo, and Unmuth-Yockey, Judah. Tue .
"Tensor network formulation of the massless Schwinger model with staggered fermions". United States. https://doi.org/10.1103/PhysRevD.101.094509.
@article{osti_1630786,
title = {Tensor network formulation of the massless Schwinger model with staggered fermions},
author = {Butt, Nouman and Catterall, Simon and Meurice, Yannick and Sakai, Ryo and Unmuth-Yockey, Judah},
abstractNote = {We construct a tensor network representation of the partition function for the massless Schwinger model on a two-dimensional lattice using staggered fermions. The tensor network representation allows us to include a topological term. Using a particular implementation of the tensor renormalization group we calculate the average plaquette and topological charge density for the theory. For a range of values of the coupling constant for the topological term, Θ, and the gauge coupling, β, we compare with results from hybrid Monte Carlo simulations when possible and find good agreement. In order to further understand the role of fermions and topology in this model, we compare calculations of the same observables in a similar model, the Abelian Higgs model.},
doi = {10.1103/PhysRevD.101.094509},
journal = {Physical Review D},
number = 9,
volume = 101,
place = {United States},
year = {2020},
month = {5}
}
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https://doi.org/10.1103/PhysRevD.101.094509
https://doi.org/10.1103/PhysRevD.101.094509
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