Different representations of spinors

Click For Summary
SUMMARY

This discussion centers on the interpretation of specific terms in a paper regarding spinors, particularly the notation \tilde v B \gamma_5 and the term c_{\mu \nu} \gamma^{\mu \nu}. The user initially struggled with understanding the meaning of the tilde and B in the context of Dirac spinors, questioning the representation of the transpose-conjugate. Ultimately, the user confirmed that their problem was resolved, indicating a successful clarification of these concepts.

PREREQUISITES
  • Understanding of Dirac spinors
  • Familiarity with gamma matrices in quantum mechanics
  • Knowledge of tensor notation in physics
  • Basic grasp of quantum field theory concepts
NEXT STEPS
  • Research the properties of Dirac spinors in quantum mechanics
  • Study the role of gamma matrices in quantum field theory
  • Explore the significance of transpose-conjugate operations in spinor representations
  • Investigate the implications of tensor notation in theoretical physics
USEFUL FOR

This discussion is beneficial for physicists, particularly those studying quantum mechanics and quantum field theory, as well as students seeking to deepen their understanding of spinor representations and related mathematical frameworks.

i_hbar
Messages
2
Reaction score
0
First, greetings from newbie to "staff"

Now, let's start:

Since some days I'm struggling a little bit with this paper: http://jmp.aip.org/resource/1/jmapaq/v5/i9/p1204_s1?isAuthorized=no , especially with two questions:

1) On page 1205, II, A (right column): What does [itex]\tilde v B \gamma_5[/itex] mean? The gamma 5 matrix isn't the problem, but what is the B and the tilde?? For me the "transpose-conjugate" of a (Dirac-)spinor should be more simply like [itex]v^{\dagger}\gamma_0[/itex].

2) Some lines later one finds the "basic equation". Isn't the term [itex]c_{\mu \nu} \gamma^{\mu \nu}[/itex] there equal to zero?

Thanks in advance.
 
Last edited by a moderator:
Physics news on Phys.org
The searched answer(s) can be read in Ref. 10 of the paper.
-> Problem is solved.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
4K