Tensor networks for gauge field theories

Understand

Over the last decade tensor network states (TNS) have emerged as a powerful tool for the study of quantum many body systems.

• The matrix product states (MPS) are one particular class of TNS and are used for the simulation of (1+1)-dimensional systems.
• In this proceeding we use MPS to determine the elementary excitations of the Schwinger model in the presence of an electric background field.
• We obtain an estimate for the value of the background field where the one-particle excitation with the largest energy becomes unstable and decays into two other elementary particles with smaller energy.