Higher loop corrections to the current of created pairs in the lengthy electric pulse

The Schwinger’s current appearing due to the breakdown of the vacuum in the strong constant electric pulse background is well known and calculated in many places. It appears due to the amplification of the zero-point fluctuations. However, we find that in higher loop corrections there are hidden redistributions of the level populations of charged particles and photons. These redistributions lead to the corrections to the current, which become large for the lengthy enough pulse and change the Schwinger’s expression for the current.