The Poincare Group: A Study of Second Part of 3.26 and 3.27

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SUMMARY

The discussion focuses on understanding the Poincare group as presented in sections 3.26 and 3.27 of "Lectures on Quantum Field Theory" by Gross D. The main issue raised is the derivation of the commutator in these sections, which is not clearly explained. Participants emphasize the importance of providing specific formulas to facilitate assistance. A resource is shared, linking to lecture notes on quantum field theory that cover the Poincare group and its representations.

PREREQUISITES
  • Familiarity with quantum field theory concepts
  • Understanding of commutators in physics
  • Knowledge of the Poincare group and its mathematical representations
  • Access to "Lectures on Quantum Field Theory" by Gross D.
NEXT STEPS
  • Review the lecture notes on quantum field theory available at http://fias.uni-frankfurt.de/~hees/publ/lect.pdf
  • Study the derivation of commutators in quantum mechanics
  • Explore the mathematical structure of the Poincare group
  • Investigate representations of the Poincare group in quantum field theory
USEFUL FOR

Students and researchers in theoretical physics, particularly those studying quantum field theory and the mathematical foundations of the Poincare group.

Caloric
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Hi all!

I'm trying to study the Poincare group and I have one problem. I'm reading a book: Gross D. Lectures on Quantum Field Theory (there is section about it). So I do not understand how the second part of (3.26 and 3.27) folows from the first part i.e I do not understand how was obtained the commutator.
 
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I don't know why a lot of people assume that everyone here has every single physics book ever written. Can you, maybe, provide the actual formulas you are asking a question about? That dramatically increases the odds that somebody will help you out.
 
Good point. I'd like to help, but have no access to this book now. For the time being, you may have a look at my lecture notes on qft, where you find a lot on the Poincare group and its representations,

http://fias.uni-frankfurt.de/~hees/publ/lect.pdf
 

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