Schwinger pair creation with the backreaction in 3+1 dimensions

In this work, I analyze the structure of the QED spacetime lattice and review the Schwinger pair creation process from a thermodynamic point of view. This viewpoint enables the dynamical mean-field calculation for 3 + 1-dimensional Schwinger pair creation with backreaction. As an example, I demonstrate how to evaluate pair creation in a finite volume with external electric fields turned on at t = 0. The numerical results show how backreaction responds to the external fields and influences pair creation.

Automated summary

In this work, the structure of the QED spacetime lattice is analyzed, and the Schwinger pair creation process is reviewed from a thermodynamic perspective. This viewpoint allows for the calculation of dynamical mean-field for 3 + 1-dimensional Schwinger pair creation with backreaction. Using a finite volume with external electric fields turned on at t = 0 as an example, the numerical results demonstrate how the backreaction responds to the external fields and influences pair creation.