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Gamma5 x d^2 Lorentz invariant?

  1. Nov 4, 2011 #1
    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
     
  2. jcsd
  3. Nov 4, 2011 #2

    clem

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    It transforms as a pseudoscalar.
     
  4. Nov 4, 2011 #3
    So it changes as a scalar with respect to Lorentz transformations, but changes sign under parity? This means it is Lorentz invariant?
     
  5. Nov 4, 2011 #4

    clem

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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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