Gamma5 x d^2 Lorentz invariant?

  • Thread starter cbetanco
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  • #1
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Main Question or Discussion Point

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
clem
Science Advisor
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It transforms as a pseudoscalar.
 
  • #3
133
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So it changes as a scalar with respect to Lorentz transformations, but changes sign under parity? This means it is Lorentz invariant?
 
  • #4
clem
Science Advisor
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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.
 

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