Approximating relativistic quantum field theories with continuous tensor networks
Abstract
We present a continuous tensornetwork construction for the states of quantum fields called continuous projected entangled pair state (cPEPS), 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 regularizationindependent way of estimating the convergence via a universal term in the fidelity per site. We also present a detailed bottomup construction of the cPEPS as the continuum limit of the conventional lattice projected entangled pair state.
 Publication:

Physical Review D
 Pub Date:
 February 2022
 DOI:
 10.1103/PhysRevD.105.045016
 arXiv:
 arXiv:2110.01603
 Bibcode:
 2022PhRvD.105d5016S
 Keywords:

 Quantum Physics;
 High Energy Physics  Theory
 EPrint:
 13 pages, 2 figures