Meaning of \gamma{\mu}, \gamma{\nu} in Rows 1,2,3

  • Context: Graduate 
  • Thread starter Thread starter sunkesheng
  • Start date Start date
  • Tags Tags
    Means
Click For Summary
SUMMARY

The discussion centers on the interpretation of the anticommutator involving \(\gamma{\mu}\) and \(\gamma{\nu}\) in quantum field theory. Participants confirm that the indices should be antisymmetrized, referencing Weinberg's "Quantum Theory of Fields, Volume 1" for clarity. The conversation also highlights the connection between Peskin's work and Weinberg's foundational concepts.

PREREQUISITES
  • Understanding of quantum field theory concepts
  • Familiarity with the properties of \(\gamma\) matrices
  • Knowledge of antisymmetrization in tensor calculus
  • Access to Weinberg's "Quantum Theory of Fields, Volume 1"
NEXT STEPS
  • Study the properties of \(\gamma\) matrices in quantum mechanics
  • Explore the concept of anticommutators in quantum field theory
  • Read Peskin and Schroeder's "An Introduction to Quantum Field Theory" for additional context
  • Investigate the implications of antisymmetrization in particle physics
USEFUL FOR

This discussion is beneficial for physicists, students of quantum field theory, and anyone interested in the mathematical foundations of particle interactions.

sunkesheng
Messages
10
Reaction score
0
i can see the mean of "[]" in the first row,it is the anticommunicater between \gamma{\mu} and \gamma{\nu}, but what it mean in the second row and the third?

thanks
 

Attachments

  • p0071-sel.jpg
    p0071-sel.jpg
    12.3 KB · Views: 435
Physics news on Phys.org
that means that the indicies should be antisymmetrized,

from the first you see it is a DEFINITION of the anticommutator, so you should be able to figure out what the third and second line is :)
 
thanks ,i found it in weinberge`s book vol.1
 
sunkesheng said:
thanks ,i found it in weinberge`s book vol.1

cool, the image you posted is from Peskin right?
 
ansgar said:
cool, the image you posted is from Peskin right?

that is right,and peskin had learned from weinberge,hh
 
Last edited:

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 49 ·
2
Replies
49
Views
7K
  • · Replies 3 ·
Replies
3
Views
478
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 38 ·
2
Replies
38
Views
5K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K