Analytic Continutation of Quantum Statistical Mechanics

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SUMMARY

The discussion centers on the relationship between the path integral approach and the partition function in quantum field theory (QFT), as mentioned in A. Zee's book "QFT in a Nutshell." The correspondence principle is highlighted as a loose connection between these concepts, with Zee acknowledging a lack of a definitive explanation for this relationship. Participants suggest further reading on the topic, particularly referencing the Wikipedia page "Thermal quantum field theory" for additional insights and references.

PREREQUISITES
  • Understanding of quantum field theory (QFT)
  • Familiarity with path integral formulation
  • Knowledge of statistical mechanics concepts
  • Basic comprehension of the correspondence principle
NEXT STEPS
  • Read "QFT in a Nutshell" by A. Zee for foundational concepts
  • Explore the Wikipedia page on "Thermal quantum field theory" for detailed references
  • Investigate the implications of the correspondence principle in QFT
  • Study advanced texts on path integrals and their applications in statistical mechanics
USEFUL FOR

Physicists, graduate students in theoretical physics, and researchers interested in the intersections of quantum field theory and statistical mechanics.

unchained1978
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In A. Zee's book "QFT in a Nutshell" he glosses over the idea that the path integral approach and the partition function are related loosely by the correspondence principle, and alludes to some deep fundamental insight behind QFT. But then he moves on. Anyone know where I could read up more on this?
 
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Zee does a lot of glossing over, that's for sure, but maybe not in this case. He just points out the formal analogy and honestly admits he doesn't know a good reason for it. The ideas been around for quite a long time. Take a look at the Wikipedia page "Thermal quantum field theory", where they give some references.
 

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