# Derivation of Noether currents under Lorentz Transformation

 P: 7 Is there anywhere I can see the explicit derivation for a massless real scalar and for the EM field? thank you.
 P: 1,023 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....
 P: 7 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.
P: 924
Derivation of Noether currents under Lorentz Transformation

 Quote by ChrisVer 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....
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.
 Quote by bagherihan 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.