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## Main Question or Discussion Point

Hey! I'm trying to learn QFT now and I'm currently reading David Tong's online lectures;

http://www.damtp.cam.ac.uk/user/tong/qft/one.pdf.

At page 17 finds the conserved current

[tex] j^\mu = - \omega^\rho_{\ \nu} T^{\mu}_{\ \rho} x^\nu[/tex]

where i have understood T to be the energy momentum tensor. He further states that it can be rewritten as

[tex](J^\mu)^{\sigma \rho} = x^\rho T^{\mu \sigma} - x^\sigma T^{\mu \rho}.[/tex]

I am not that good manipulating tensors yet and my question is how one goes about showing this, step by step.

http://www.damtp.cam.ac.uk/user/tong/qft/one.pdf.

At page 17 finds the conserved current

[tex] j^\mu = - \omega^\rho_{\ \nu} T^{\mu}_{\ \rho} x^\nu[/tex]

where i have understood T to be the energy momentum tensor. He further states that it can be rewritten as

[tex](J^\mu)^{\sigma \rho} = x^\rho T^{\mu \sigma} - x^\sigma T^{\mu \rho}.[/tex]

I am not that good manipulating tensors yet and my question is how one goes about showing this, step by step.