Tensor network simulation of QED on infinite lattices: Learning from (1+1)d , and prospects for (2+1)d

@article{Zapp2017TensorNS,
  title={Tensor network simulation of QED on infinite lattices: Learning from (1+1)d , and prospects for (2+1)d},
  author={Kai Zapp and Rom{\'a}n Or{\'u}s},
  journal={Physical Review D},
  year={2017},
  volume={95}
}
The simulation of lattice gauge theories with tensor network (TN) methods is becoming increasingly fruitful. The vision is that such methods will, eventually, be used to simulate theories in $(3+1)$ dimensions in regimes difficult for other methods. So far, however, TN methods have mostly simulated lattice gauge theories in $(1+1)$ dimensions. The aim of this paper is to explore the simulation of quantum electrodynamics (QED) on infinite lattices with TNs, i.e., fermionic matter fields coupled… 

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