TY - JOUR

T1 - Tensor network formulation of the massless Schwinger model with staggered fermions

AU - Butt, Nouman

AU - Catterall, Simon

AU - Meurice, Yannick

AU - Sakai, Ryo

AU - Unmuth-Yockey, Judah

N1 - Funding Information:
The authors would like to thank the members of the QuLat Collaboration for stimulating discussions. S. C., Y. M., R. S., and J. U. Y. were supported by the U.S. Department of Energy (DOE) under Awards No. DE-SC0019139 and No. DE-SC0009998.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.101.094509

DO - 10.1103/PhysRevD.101.094509

M3 - Article

AN - SCOPUS:85085890041

VL - 101

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 9

M1 - 094509

ER -