Understanding Group Theory and its Applications in Quantum Field Theory

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SUMMARY

This discussion focuses on the intersection of Group Theory and Quantum Field Theory (QFT), specifically addressing the challenges students face when attempting to solve related problems. Participants emphasize the importance of presenting clear, readable questions, preferably using LaTeX formatting, to facilitate effective assistance. The conversation highlights the necessity for students to demonstrate their understanding and efforts in tackling specific subquestions, particularly those involving character tables and calculations related to group representations.

PREREQUISITES
  • Understanding of Quantum Field Theory (QFT)
  • Familiarity with Group Theory concepts
  • Proficiency in LaTeX for mathematical typesetting
  • Knowledge of character tables and group representations
NEXT STEPS
  • Research LaTeX formatting for mathematical expressions
  • Study the applications of Group Theory in Quantum Field Theory
  • Learn about character tables and their significance in group representations
  • Explore common problems and solutions in QFT related to group theory
USEFUL FOR

Students and educators in physics, particularly those studying Quantum Field Theory and Group Theory, as well as anyone seeking to improve their problem-solving skills in these areas.

EigenJm
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No Effort -- Member warned that homework questions must show an attempt.
Homework Statement
I had a set of excercises on grouo theory and these are the two last i cant help to solve . I d be obliged if u couls help me
Relevant Equations
Grouptheory
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received_3301538156552570.jpeg
 
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Hey , thanks for your answer ! Can I post a better picture maybe ? Because i really don't have time to learn Latex now . My test is on Monday and i am studying qft like a maniac. Thanks in advance .
 
You may try. But blue has a notoriously bad contrast. Some people don't even try to read photos.
If it's QFT I'll possibly move it back to physics. Depends on whether you're question is more group theory or more field theory.
 
There is this lesson in pregrad i am attending , that one part is qft and the other is group theory and applications . The questions , are from the second part. I can rewrite it in black if that helps .
 
EigenJm said:
I can rewrite it in black if that helps .
I'll attach versions below that I've run through contrast enhancement multiple times. They are a bit more readable now, but at least the first page has some cut-off text to the right. Not sure if this helps enough to get you some replies.

MathLight01.jpeg


MathLight02.jpeg
 
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EigenJm said:
There is this lesson in pregrad i am attending , that one part is qft and the other is group theory and applications . The questions , are from the second part. I can rewrite it in black if that helps .
I'm afraid we are not here to solve your homework for you. You have to show us some efforts and which of the many subquestions you have problems with, preferably in Latex. It isn't that difficult, just a few tags and that's it.

P.S.: And what is ##\Gamma^2(g)##? It looks as if there is quite some calculations to do, e.g. with the character table. What have you done so far?
 
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