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for a real scalar field one has the energy momentum tensor from Noethers theorem

[tex]T^{\mu\nu} = \frac{\partial \mathcal{L}}{\partial \partial_\mu \phi} \partial^\nu \phi - \eta^{\mu\nu} \mathcal{L} [/tex]

and the conserved quantities

[tex]P^\nu = \int d^3 x \ T^{0\nu}[/tex]

Now, how can one show that P is really a 4-vector, since the definition looks not that covariant and I could not think of anything.

Thanks for your response,

torus

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# Four momentum vector from energy-momentum-tensor

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