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Derivation of Noether currents under Lorentz Transformation

  1. Jun 21, 2014 #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. Jun 21, 2014 #2

    ChrisVer

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    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. Jun 21, 2014 #3
    I mean for example that I saw that for the scalar field it is :
    [tex]
    j^{μσμ} = x^ρT^{\mu \sigma} - x^σT^{\mu ρ}
    [/tex]
    I don't know how to get there, so I'd like to see the full derivation.
     
  5. Jun 21, 2014 #4

    samalkhaiat

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    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. Jun 21, 2014 #5

    samalkhaiat

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    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
     

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