The Physics of Virtual Particles - Comments

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SUMMARY

The discussion centers on the nature of virtual particles, particularly in the context of the Unruh effect and their relationship with quasiparticles and real particles. Participants clarify that particles generated by the Unruh effect are virtual, akin to virtual photons in Coulomb interactions, and emphasize the necessity of a quasiparticle framework to describe actual particles in a hot bath scenario. The conversation also delves into the distinctions between virtual particles, quasiparticles, and real particles, highlighting the role of coherent states and the Bogoliubov transformation in quantum field theory. Key references include the Poincaré group and Weinberg's quantum field theory text.

PREREQUISITES
  • Understanding of the Unruh effect and its implications in quantum mechanics.
  • Familiarity with the Poincaré group and its role in particle physics.
  • Knowledge of coherent states and their significance in quantum field theory.
  • Basic comprehension of Feynman diagrams and their application in quantum interactions.
NEXT STEPS
  • Study the Unruh effect and its implications for particle physics.
  • Explore the Poincaré group and its application in quantum mechanics.
  • Learn about coherent states and the Bogoliubov transformation in quantum field theory.
  • Investigate the differences between virtual particles, quasiparticles, and real particles in various physical contexts.
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in the theoretical foundations of particle physics and the nuances of virtual particles in quantum field theory.

  • #31
I updated my Insight article by adding at the end a lot of factual information on vacuum fluctuations and related topics, based on the fairly precise definition of vacuum fluctuations on p.119 in the quantum field theory book by Itzykson and Zuber 1980.
 
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  • #32
To be pedantic: You write

According to the Born rule, the distribution of a quantum observable gives the probabilities for measuring values for the observable in independent, identical preparations of the system in identical states. Thus the presence of a Gaussian distribution means that the attempt to measure the electromagnetic field in the vacuum state cannot be done with arbitrary precision but has an inherent uncertainty.
I would write

According to the Born rule, the distribution of a quantum observable gives the probabilities for measuring values for the observable in independent, identical preparations of the system in identical states. Thus the presence of a Gaussian distribution means that the value of the electromagnetic field in the vacuum state is not determined with arbitrary precision but has an inherent uncertainty.

The fluctuations of observables are not due to the limitations of measurement accuracy but due to the state the system is prepared in. This is also often discussed in a misleading way in context of the usual uncertainty relation. Also in this case the uncertainty/fluctuations of observables are due to the impossibility to prepare the system in such a way that both incompatible observables have a determined value; it's not a limitation to the accuracy you can measure the one or the other observable.
 
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  • #33
vanhees71 said:
According to the Born rule, the distribution of a quantum observable gives the probabilities for measuring values for the observable in independent, identical preparations of the system in identical states. Thus the presence of a Gaussian distribution means that the value of the electromagnetic field in the vacuum state is not determined with arbitrary precision but has an inherent uncertainty.
Yes, that's an improvement. I updated the page.
 
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