Playground 06

Dirac Sea and Schwinger Effect

Build pair-creation intuition by tilting the energy landscape with a strong electric field, pulling virtual pairs apart into a real current.

Animation Controls

Current build step
1. Vacuum pair fluctuations
0%
weakcriticalstrong
sparsebalanceddense
virtualsplittingreal pair
Tilt
flat
Current
forming
Rate
hidden

Pair Creation Picture

Tilted energy landscape
A strong electric field lowers one side and raises the other, helping virtual electron-positron pairs separate into real particles.
Strong-field intuition
positive-energy branchnegative-energy branchepepepepepepep
Current interpretation
Once the pair is separated enough, the charges accelerate in opposite directions and contribute to a net current through the field region.
Electron motion
leftward
Positron motion
rightward
Net current
0.12
Rate estimate
The stronger the electric field, the less suppressed pair production becomes. The process is tiny at weak field and much clearer near the critical scale.
Schematic factor
Γeπm2/(eE)\Gamma \sim e^{-\pi m^2/(eE)}
Field scale
0.9
Effective rate
0.18

What to notice

The electric field does not create particles from nowhere in a cartoon sense. It changes the energy picture enough that vacuum fluctuations can be pulled apart into observable charges.

Why strong fields matter

The pair-production rate is exponentially suppressed at weak field. That is why the Schwinger effect is conceptually important but experimentally demanding.

Try this

Increase field strength first, then pair separation. You should see the landscape tilt become strong enough for the pairs to pull apart and for the current panel to stop looking purely virtual.