Electron-positron pair production

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Discussion Overview

The discussion revolves around the phenomenon of electron-positron pair production in the context of static electric fields, specifically addressing the conditions under which this occurs and the implications for energy conservation. Participants explore theoretical aspects and implications of energy sources related to this process.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants propose that a static electric field of 10^16 V/cm² can indeed create positron-electron pairs.
  • Others argue that this process is not associated with any additional energy release, suggesting that the energy required for pair production comes from the electric field itself.
  • One participant questions how to produce a Sauter electric field, noting its step-function characteristics.
  • There is a contention regarding whether the electric field creates particles from "nothingness" or "physical vacuum," with some asserting that this would violate energy conservation principles.
  • Another participant clarifies that maintaining such strong electric fields requires energy, as the produced charges would otherwise weaken the field over time.
  • It is suggested that the energy conversion occurs from the strong electric fields to the mass of the produced particles.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between electric fields and energy conservation, with no consensus reached on whether the electric field creates particles from nothing or requires energy to maintain its strength during pair production.

Contextual Notes

Discussion includes assumptions about energy conservation, the nature of electric fields, and the conditions necessary for pair production, which remain unresolved.

Stanley514
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Is it true that static electric field 10^16 V/cm2 is capable to create positron-electron pairs? Is this process associated with energy release? If yes, where energy comes from?
 
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You can get pair production from a static electric field.
The process is not associated with any additional energy release.

i.e.
http://arxiv.org/abs/1112.4120
 
How can one produce a Sauter electric field/potential? The potential looks like a step-function one.
 
Simon Bridge said:
You can get pair production from a static electric field.
The process is not associated with any additional energy release.

i.e.
http://arxiv.org/abs/1112.4120
But if you need no energy to maintain electrostatic field, in principle, and this field creates positrons and electrons from ''nothingless'' and these positrons have real energy and could annihilate with something releasing gamma rays, wouldn't it mean we received energy from physical vacuum?
 
Stanley514 said:
But if you need no energy to maintain electrostatic field
For fields so strong that you get pair production you do need energy to maintain them. Otherwise the produced charges will weaken it over time (as electrons go to the positive side and positrons go to the negative side).
It is just a conversion of energy - from strong electric fields to particle masses and weaker fields.
 
this field creates positrons and electrons from ''nothingness"
... the field does not make positrons and electrons out of "nothingness" nor out of "physical vacuum". As you point out, if it did, then energy would not be conserved.

The energy to make the particle/anti-particle pair comes from the electric field.
Please see: http://ryuc.info/creativityphysics/energy/pair_production.htm
 

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