Dirac spinor in 1+1d, do the 2 components represent spin?

  • Thread starter Spinnor
  • Start date
  • #1
Spinnor
Gold Member
2,123
318

Main Question or Discussion Point

The Dirac equation in 3+1 space-time yields spin, is this still true in 1+1d space-time? If not what do the 2 components of the spinor represent? Do we still have intrinsic spin in 1+1d space-time?

Thanks for any help!
 

Answers and Replies

  • #2
vanhees71
Science Advisor
Insights Author
Gold Member
2019 Award
14,446
6,013
In one space dimension, angular momentum doesn't make too much sense, I'd say, because there are no rotations. It's a good question, what it represents! I've no spontaneous idea :-).
 
  • #3
Spinnor
Gold Member
2,123
318
In one space dimension, angular momentum doesn't make too much sense, I'd say, because there are no rotations. It's a good question, what it represents! I've no spontaneous idea :).
Thank you for help! Would one place to look be to examine the current 2 vector, J_μ? That would involve the spinors?
 

Related Threads on Dirac spinor in 1+1d, do the 2 components represent spin?

Replies
2
Views
693
  • Last Post
Replies
2
Views
589
Replies
8
Views
8K
Replies
14
Views
10K
Replies
8
Views
1K
Replies
8
Views
1K
Replies
3
Views
631
Replies
1
Views
2K
  • Last Post
Replies
8
Views
3K
Replies
8
Views
1K
Top