Journal article
Tensor network formulation of the massless Schwinger model with staggered fermions
Physical review. D, Particles, fields, gravitation, and cosmology, Vol.101(9), 094509
05/26/2020
DOI: 10.1103/PhysRevD.101.094509
Abstract
We construct a tensor network representation of the partition function for the massless Schwi tiger 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, Theta, and the gauge coupling, beta, 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.
Details
- Title: Subtitle
- Tensor network formulation of the massless Schwinger model with staggered fermions
- Creators
- Nouman Butt - Syracuse UniversitySimon Catterall - Syracuse UniversityYannick Meurice - University of IowaRyo Sakai - University of IowaJudah Unmuth-Yockey - Syracuse University
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Particles, fields, gravitation, and cosmology, Vol.101(9), 094509
- DOI
- 10.1103/PhysRevD.101.094509
- ISSN
- 1550-7998
- eISSN
- 1550-2368
- Publisher
- Amer Physical Soc
- Number of pages
- 14
- Grant note
- DE-SC0019139; DE-SC0009998 / U.S. Department of Energy (DOE); United States Department of Energy (DOE)
- Language
- English
- Date published
- 05/26/2020
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984429021602771
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