Non-abelian Local Gauge Invariance in Field Theories

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SUMMARY

The discussion focuses on the complexities of non-abelian local gauge invariance in field theories, particularly in the context of Yang-Mills theory. Sam shares notes from 20 years ago that detail the subject but acknowledges issues stemming from the conversion of Math-Type notes to LaTeX, which affected equation references. Specific corrections are provided for equation references on pages 7, 9, 10, and 11, ensuring clarity for future readers. The notes are deemed useful for those studying advanced topics in gauge theories.

PREREQUISITES
  • Understanding of Yang-Mills theory
  • Familiarity with non-abelian Lie groups
  • Proficiency in LaTeX for typesetting mathematical documents
  • Knowledge of gauge invariance principles in theoretical physics
NEXT STEPS
  • Study the mathematical foundations of non-abelian Lie groups
  • Explore the implications of Yang-Mills theory in particle physics
  • Learn about the process of converting Math-Type documents to LaTeX
  • Investigate the role of gauge invariance in quantum field theory
USEFUL FOR

The discussion is beneficial for theoretical physicists, graduate students in physics, and researchers focusing on gauge theories and their applications in particle physics.

samalkhaiat
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These are notes I made when I was studying the subject 20 years ago. They seem fine considering that I was student then. I believe they can be useful for those who are studying Yang-Mills and other related material.

Sam
 

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Thanks, Sam!
 
nice,but looks some tough as it starts with non abelian lie group directly!
 
samalkhaiat said:
These are notes I made when I was studying the subject 20 years ago. They seem fine considering that I was student then. I believe they can be useful for those who are studying Yang-Mills and other related material.

Sam

Some corrections:
The notes were originally made using Math-Type, then converted to LaTex. This caused some problems with the references to equations numbers. I corrected most of them but missed the followings:

1) on page 7, the sentence before Eq(3.20) should say "using Eq(3.1) and Eq(3.19)"
2) on page 9 the sentence after Eq(3.35) should read "Adding Eq(3.34) to Eq(3.35)".
3) on page 10 again you see a reference to Eq(10), this should changed to Eq(3.1).
4) on page 11 reference to Eq(59) is made. The correct equation number is Eq(4.13).
I think that is all. Please do tell me if you find some more of these.

Sam
 
andrien said:
nice,but looks some tough as it starts with non abelian lie group directly!

but how its start?
 

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