Field fluctuations in the vacuum

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Discussion Overview

The discussion centers on the nature of quantum fluctuations in the vacuum as predicted by relativistic quantum field theory (QFT), particularly in relation to the Casimir Effect. Participants explore the terminology and implications of vacuum energy and fluctuations, as well as the physical interpretations of the Casimir Effect.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions how relativistic QFT predicts quantum fluctuations in the vacuum and seeks an explanation for the physicality of these fluctuations as evidenced by the Casimir Effect.
  • Another participant suggests that "vacuum fluctuation" is a misleading term and proposes "vacuum energy" or "zero point energy" as more accurate descriptors, emphasizing that vacuum refers to the absence of particles.
  • A different viewpoint argues that the Casimir Effect can be explained solely through electromagnetic forces between the charges on the plates, challenging the notion that it is a direct demonstration of quantum vacuum fluctuations.
  • Further elaboration indicates that in special relativity (SR), the absolute value of total energy is not physically meaningful, and thus energy differences are more relevant. The participant mentions that vacuum is a stationary state and not subject to fluctuations.
  • References to calculations in QFT literature are provided, suggesting that the usual treatments of the Casimir Effect involve limiting cases for infinite charges.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of vacuum fluctuations and the Casimir Effect, indicating that multiple competing perspectives remain without consensus.

Contextual Notes

There are unresolved questions regarding the definitions of vacuum energy and fluctuations, as well as the implications of energy differences in the context of quantum field theory. The discussion also highlights the complexity of the Casimir Effect and its interpretations.

Jrs580
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How does relativistic qft predict quantum fluctuations in the vacuum? We see this in the experiment proving the Casimir Effect so we know it's physical, but why?
 
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Vacuum fluctuation is not a good term, vacuum energy is better (zero point energy). Vaccum here means absence of particles.

Hard to understand your "why" question, do you want to see the casimir effect calculation or what else are you referring to?
 
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Jrs580 said:
We see this in the experiment proving the Casimir Effect so we know it's physical
We do not. The Casimir effect can be explained purely as electromagnetic force between the electric charges in the plates: The Casimir Effect and the Quantum Vacuum
 
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malawi_glenn said:
Vacuum fluctuation is not a good term, vacuum energy is better (zero point energy). Vaccum here means absence of particles.
In SR there is no physics in the absolute value of the total energy, and thus it's convenient to associate the values 0 of the Poincare-invariant vacuum state for all additive conservation laws. Formally you can achieve this with introducing "normal ordering" in the Hamiltonian/Lagrangian.

The physics is in the energy differences rather than the absolute value of the energy. There are no fluctuations in the vacuum itself but rather it's a stationary state (eigenstate of the Hamiltonian).
malawi_glenn said:
Hard to understand your "why" question, do you want to see the casimir effect calculation or what else are you referring to?
The Casimir effect is due to fluctuations of charges and the em. field. The usual calculation you find in introductory chapters of some QFT books (e.g., in Itzykson, Zuber) is a limiting case for infinite (!) charges. For details see

https://arxiv.org/abs/hep-th/0503158
https://doi.org/10.1103/PhysRevD.72.021301
 
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