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Derivation of Noether currents under Lorentz Transformation

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bagherihan
#1
Jun21-14, 08:52 AM
P: 7
Is there anywhere I can see the explicit derivation for a massless real scalar and for the EM field?
thank you.
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ChrisVer
#2
Jun21-14, 10:35 AM
P: 754
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....
bagherihan
#3
Jun21-14, 12:01 PM
P: 7
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.

samalkhaiat
#4
Jun21-14, 12:09 PM
Sci Advisor
P: 892
Derivation of Noether currents under Lorentz Transformation

Quote Quote by ChrisVer View Post
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.
samalkhaiat
#5
Jun21-14, 12:16 PM
Sci Advisor
P: 892
Quote Quote by bagherihan View Post
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.
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
File Type: pdf Noether Theore1.pdf (344.7 KB, 6 views)


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