Vac fluct e+/e- field correlated because charge conservation

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Discussion Overview

The discussion centers on whether fluctuations of the electron/positron field are correlated in space and time due to charge conservation, exploring concepts related to quantum field theory (QFT) and vacuum fluctuations.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions if charge conservation prevents positive charge from appearing independently, suggesting a correlation in fluctuations of the electron/positron field.
  • Another participant prompts for clarification on the complexity of the question, indicating it could relate to advanced concepts like the Reeh--Schlieder theorem or basic principles of QFT and conservation laws.
  • A later reply reiterates that if fluctuations occur, charge must be created in equal and opposite amounts, implying a relationship between fluctuations and charge conservation.
  • Another participant argues that vacuum fluctuations and virtual particles are unphysical artifacts of mathematical calculations in QFT, cautioning against attributing physical reality to them.

Areas of Agreement / Disagreement

The discussion features multiple competing views, with some participants supporting the idea of charge conservation influencing fluctuations, while others challenge the physical reality of vacuum fluctuations.

Contextual Notes

There is uncertainty regarding the level of complexity in the original question and the implications of vacuum fluctuations within QFT, as well as the interpretation of these phenomena.

Spinnor
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Are fluctuations of the electron/positron field correlated in space and time because of charge conservation? We can't just have some positive charge just pop into existence, even if only for a moment?

Thanks for any help!
 
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You might need to give a bit more background to your question. I'm not sure if you're asking a very advanced question related to the Reeh--Schlieder theorem, or a very basic question that could be answered by saying: "no, QFT respects special relativity and associated conservation laws".
 
strangerep said:
You might need to give a bit more background to your question. I'm not sure if you're asking a very advanced question related to the Reeh--Schlieder theorem, or a very basic question that could be answered by saying: "no, QFT respects special relativity and associated conservation laws".

Probably not the advanced question! If the electron/positron field can fluctuate, then charge is created, and it must be created in equal and opposite amounts?
 
Spinnor said:
Probably not the advanced question! If the electron/positron field can fluctuate, then charge is created, and it must be created in equal and opposite amounts?
Those "vacuum fluctuations", "virtual particles", etc, etc, that you've probably been reading about are merely unphysical artifacts that arise in intermediate stages of archane mathematical calculations in QFT. It's a mistake to attribute physical reality to them.
 

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