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arXiv · 1911.01285

Tensor network formulation of the massless Schwinger model

Nouman Butt·Simon Catterall·Yannick Meurice·Judah Unmuth-Yockey
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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 (HOTRG) we calculate the phase diagram of the theory. For a range of values of the coupling to the topological term $θ$ and the gauge coupling $β$ we compare with results from hybrid Monte Carlo when possible and find good agreement.

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Nouman Butt, Simon Catterall, Yannick Meurice, Judah Unmuth-Yockey. 2019-11-20. Tensor network formulation of the massless Schwinger model. https://doi.org/10.1103/physrevd.101.094509

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