Simulating fermion production in 1+1 dimensional QED

Understand

We investigate fermion--anti-fermion production in 1+1 dimensional QED using real-time lattice techniques.

• In this non-perturbative approach the full quantum dynamics of fermions is included while the gauge field dynamics can be accurately represented by classical-statistical simulations for relevant field strengths.
• We compute the non-equilibrium time evolution of gauge invariant correlation functions implementing 'low-cost' Wilson fermions.
• Introducing a lattice generalization of the Dirac-Heisenberg-Wigner function, we recover the Schwinger formula in 1+1 dimensions in the limit of a static background field.