Approximating Relativistic Quantum Field Theories with Continuous Tensor Networks

  title={Approximating Relativistic Quantum Field Theories with Continuous Tensor Networks},
  author={Tom Shachar and Erez Zohar},
We present a continuous tensor-network construction for the states of quantum fields called cPEPS (continuous projected entangled pair state), which enjoys the same spatial and global symmetries of ground-states of relativistic field theories. We explicitly show how such a state can approximate and eventually converge to the free field theory vacuum and suggest a regularization-independent way of estimating the convergence via a universal term in the fidelity per-site. We also present a… 

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