Approximating Relativistic Quantum Field Theories with Continuous Tensor Networks
@inproceedings{Shachar2021ApproximatingRQ, title={Approximating Relativistic Quantum Field Theories with Continuous Tensor Networks}, author={Tom Shachar and Erez Zohar}, year={2021} }
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…
One Citation
Wilson loops in the Hamiltonian formalism
- Physics
- 2022
In a gauge theory, the gauge invariant Hilbert space is unchanged by the coupling to arbitrary local operators. In the presence of Wilson loops, though, the physical Hilbert space must be enlarged by…
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