Derivation of Noether currents under Lorentz Transformation

  1. Is there anywhere I can see the explicit derivation for a massless real scalar and for the EM field?
    thank you.
  2. jcsd
  3. ChrisVer

    ChrisVer 2,378
    Gold Member

    What do you actually mean?
    You can always try to find the Noether current for Lorentz transformations in both cases...The result current I think is the Energy Momentum tensor....
  4. I mean for example that I saw that for the scalar field it is :
    j^{μσμ} = x^ρT^{\mu \sigma} - x^σT^{\mu ρ}
    I don't know how to get there, so I'd like to see the full derivation.
  5. samalkhaiat

    samalkhaiat 1,148
    Science Advisor

    The energy momentum tensor is the translation current. The current associated with Lorentz transformations is the rank-3 moment tensor. As a rule, when the parameter of the transformation carry n space-time indices, the associated current is a rank (n+1) tensor.
  6. samalkhaiat

    samalkhaiat 1,148
    Science Advisor

    You find it in PDF below. The work is about Noether theorem. I have not finished it yet, I will try (if time allows me) to finish it in the next 2 to 3 weeks

    Attached Files:

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