In this chapter we review results on the lattice Schwinger model. In particular, we show how the effect of the anomaly is reproduced on the lattice. We connect these results to recent developments in the field of quantum simulation of interacting field theories. Schemes for the quantum simulation of (approximations of) Schwinger models are discussed.

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The Lattice Schwinger Model and Its Quantum Simulation

  • João C. Pinto Barros,
  • Pierpaolo Fontana,
  • Pasquale Sodano,
  • Andrea Trombettoni

摘要

In this chapter we review results on the lattice Schwinger model. In particular, we show how the effect of the anomaly is reproduced on the lattice. We connect these results to recent developments in the field of quantum simulation of interacting field theories. Schemes for the quantum simulation of (approximations of) Schwinger models are discussed.