Analytic properties of amplitudes

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    Amplitudes Properties
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SUMMARY

The discussion centers on the analytic properties of Feynman diagrams and their resulting amplitudes, specifically focusing on branch cuts for multiparticle states and poles for single particle states and bound states. Participants seek resources that elucidate these properties through mathematical expressions and calculations. Recommended resources include the book by Nakanishi and Speer's work, both of which provide comprehensive insights into these analytic properties, particularly in the context of Non-Abelian gauge theories like Quantum Chromodynamics (QCD).

PREREQUISITES
  • Understanding of Feynman diagrams
  • Knowledge of quantum field theory
  • Familiarity with Non-Abelian gauge theories
  • Basic mathematical skills for analyzing complex functions
NEXT STEPS
  • Study the analytic properties of Feynman diagrams in detail
  • Explore Nakanishi's book for comprehensive examples
  • Investigate Speer's work on amplitudes and their properties
  • Learn about branch cuts and poles in the context of QCD
USEFUL FOR

Physicists, graduate students in theoretical physics, and researchers interested in quantum field theory and the mathematical foundations of particle physics.

omrihar
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Hey,

I have been looking around for a good resource explaining the analytic properties of Feynman diagrams and their resulting amplitudes.

I think I understand in general what to expect (branch cuts for multiparticle states, poles for single particle states and bound states), but I'm not sure exactly how to see this from the mathematical expressions.

Does any of you know a good resource explaining how these properties can be seen from the calculations? Preferable a source with many examples (including if possible examples from Non-Abelian gauge theories - specifically QCD).

Thanks!
 
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