Tunneling effect by means of the instantons

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SUMMARY

The discussion centers on the application of instantons to describe the tunneling effect in Quantum Field Theory (QFT) and condensed matter physics. While traditional methods like the WKB approximation exist for calculating transmission probabilities, instantons offer unique advantages in QFT. Participants express interest in exploring the specific achievements and applications of instantons within QFT, highlighting their significance in theoretical physics.

PREREQUISITES
  • Understanding of Quantum Field Theory (QFT)
  • Familiarity with tunneling effects in quantum mechanics
  • Knowledge of WKB approximation techniques
  • Basic concepts of instantons in theoretical physics
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  • Research the role of instantons in Quantum Field Theory
  • Explore advanced applications of instantons in condensed matter physics
  • Study the WKB approximation and its limitations compared to instantons
  • Investigate the mathematical formulation of instantons and their impact on tunneling phenomena
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The discussion is beneficial for theoretical physicists, researchers in Quantum Field Theory, and students interested in advanced quantum mechanics and tunneling phenomena.

Davide86
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I've recently find out that is possible to describe tunneling effect by means of the instantons.
Of course there are other methods to compute the transmission probability (WKB for example), but the real utility of this technique is that it can be applied in Quantum Field Theory (and also in condensed matter physics). So I wonder: what exactly can you achieve in QFT by the use of instantons? Do you know any other application of this technique?
Thanks
 
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Thanks Naty1!
 

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