Quantum tunnelling outside the light cone?

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SUMMARY

The discussion centers on the concept of quantum tunneling outside the light cone, as mentioned in Zee's "QFT in a Nutshell." While some recent experiments have suggested measurements of faster-than-light (FTL) speeds, these findings do not disprove Einstein's theory of special relativity, which maintains that light speed is the ultimate limit for matter and information. The Feynman propagator, which decreases exponentially outside the light cone, does not indicate a violation of causality when combined with the existence of antiparticles. For a deeper understanding, readers are encouraged to consult Weinberg's "The Quantum Theory of Fields, Volume I," particularly Section 5.2.

PREREQUISITES
  • Understanding of quantum field theory (QFT)
  • Familiarity with Einstein's theory of special relativity
  • Knowledge of the Feynman propagator and its implications
  • Basic concepts of particle physics, including antiparticles
NEXT STEPS
  • Read "The Quantum Theory of Fields, Volume I" by Steven Weinberg, focusing on Section 5.2
  • Explore the implications of the Feynman propagator in quantum mechanics
  • Investigate recent experiments measuring faster-than-light speeds and their interpretations
  • Study the relationship between quantum tunneling and causality in physics
USEFUL FOR

This discussion is beneficial for physicists, students of quantum field theory, and anyone interested in the implications of faster-than-light phenomena and the foundations of special relativity.

BWV
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Zee's QFT in a Nutshell makes a short comment in the first chapter about the possibility of particles tunnelling outside their light cone - is there some probability that a particle could do this? I know the neutrino thing has been debunked as a faulty cable, but did not see this offered as an explanation - why not? i
 
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No thoughts?

I did find this site
http://www.aei.mpg.de/~mpoessel/Physik/FTL/tunnelingftl.html


In recent years, some physicists have conducted experiments in which faster-than-light (FTL) speeds were measured. On the other hand, Einstein's theory of special relativity gives light speed as the absolute speed limit for matter and information! If information is transmitted faster, then a host of strange effects can be produced, e.g. for some observers it looks like the information was received even before it was sent (how this comes about should be described in elementary literature on special relativity). This violation of causality is very worrysome, and thus special relativity's demand that neither matter nor information should move faster than light is a pretty fundamental one, not at all comparable to the objections some physicists had about faster-than-sound travel in the first half of this century.

So, has special relativity been disproved, now that FTL speeds have been measured?
 
BWV, Zee's book has an easygoing style, but can be hard to nail down in places. The function he's talking about is the Feynman propagator, which falls off exponentially outside the light cone with a characteristic distance equal to the Compton wavelength, ħ/mc. This does not represent a violation of causality or influences going faster than light. In fact when combined with the existence of antiparticles it's exactly what is necessary to avoid such problems. Take a look at a more careful treatment, such as Weinberg Vol I, Sect 5.2.
 

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