Gamma5 x d^2 Lorentz invariant?

  • Thread starter cbetanco
  • Start date
  • #1
133
2
is [itex]\overline{\Psi}[/itex] γ5 [itex]\partial[/itex]2 [itex]\Psi[/itex] Lorentz Invariant? How does this term transform under Lorentz transformations? Here [itex]\Psi[/itex] is a Dirac field.

Thanks
 

Answers and Replies

  • #2
Meir Achuz
Science Advisor
Homework Helper
Gold Member
3,586
159
It transforms as a pseudoscalar.
 
  • #3
133
2
So it changes as a scalar with respect to Lorentz transformations, but changes sign under parity? This means it is Lorentz invariant?
 
  • #4
Meir Achuz
Science Advisor
Homework Helper
Gold Member
3,586
159
The parity transformation is a Lorentz transformation, so you would have to say it is invariant under Lorentz transformations which do not include r --> -r.
 

Related Threads on Gamma5 x d^2 Lorentz invariant?

  • Last Post
Replies
4
Views
7K
Replies
6
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
12
Views
4K
  • Last Post
Replies
3
Views
998
  • Last Post
Replies
7
Views
5K
Replies
6
Views
2K
  • Last Post
Replies
17
Views
2K
  • Last Post
Replies
1
Views
1K
Top