References for Hamiltonian field theory and Dirac Brackets

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SUMMARY

The discussion centers on the need for comprehensive references on constrained Hamiltonian systems and Dirac brackets, particularly in the context of electrodynamics. Key recommendations include "Quantization of Gauge Theories" by Henneaux and Teitelboim, which is regarded as the definitive guide, and "Constrained Dynamics" by Sundermayer. The participant expresses dissatisfaction with existing Quantum Field Theory (QFT) texts, such as those by Weinberg, which provide only cursory coverage of the topic.

PREREQUISITES
  • Understanding of constrained Hamiltonian systems
  • Familiarity with Dirac brackets
  • Basic knowledge of electrodynamics
  • Background in Quantum Field Theory (QFT)
NEXT STEPS
  • Study "Quantization of Gauge Theories" by Henneaux and Teitelboim
  • Read "Constrained Dynamics" by Sundermayer
  • Explore advanced topics in constrained Hamiltonian mechanics
  • Investigate the application of Dirac brackets in electrodynamics
USEFUL FOR

This discussion is beneficial for theoretical physicists, graduate students in physics, and researchers focusing on Hamiltonian mechanics and gauge theories.

andresB
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I'm looking for complete and detailed references on constrained Hamiltonian systems and Dirac brackets. While my main interest is electrodynamics, I would prefer a complete exposition of the theory from the ground up.

So far, my knowledge about the topic comes from books in QFT, like Weinberg. But those books just want to get over with it quickly and go to QED, so it is somewhat unsatisfactory.

So, any good reference out there?
 
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Absolutely, it is the "bible" Henneaux, M., Teitelboim, C. "Quantization of Gauge Theories", or Sundermayer, K. "Constrained Dynamics".
 
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