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.
@article{arxiv.1911.01285,
title = {Tensor network formulation of the massless Schwinger model},
author = {Nouman Butt and Simon Catterall and Yannick Meurice and Judah Unmuth-Yockey},
journal= {arXiv preprint arXiv:1911.01285},
year = {2020}
}