I am trying to learn how parity and time reversal transform the electric field, ##A_\mu## and ##\partial_\mu##. In other words what: what are ##P \partial_\mu P##, ##T \partial_\mu T##, ##T A_\mu T## and ##P A_\mu P##?(adsbygoogle = window.adsbygoogle || []).push({});

My first guess was that ##P A_\mu(t,\vec{x}) P = A_\mu(t,-\vec{x})##, ##T A_\mu(t,\vec{x}) T = A_\mu(-t,\vec{x})##, ##P \partial_\mu(t,\vec{x}) P = \partial_\mu(t,-\vec{x})##, ##T \partial_\mu(t,\vec{x}) T = \partial_\mu(-t,\vec{x})##, but this gives the wrong answer when I try to do exercises. So there's probably something that I dont understand correctly.

I've looked in Peskin, and searched the internet, and I cannot find the the answer to this. These would be useful to anyone starting out with QED, so it would be good if someone would give me the answer I'd be very greateful :)

Thanks!

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# A Parity and time reversal on derivatives and electric field?

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