- #1
center o bass
- 560
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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.