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Timeline for What is the axial current?

Current License: CC BY-SA 3.0

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Apr 16, 2018 at 16:48 vote accept knzhou
Feb 2, 2018 at 13:07 history edited knzhou CC BY-SA 3.0
added 30 characters in body
Jul 18, 2016 at 19:45 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Apr 7, 2016 at 22:31 comment added AccidentalFourierTransform I see, nice :-)
Apr 7, 2016 at 22:29 comment added knzhou I really want to assign an interpretation to this quantity, because physical meaning is really, really slippery in QFT, to the point that some purists tell me nothing has any meaning besides S-matrix elements. This makes it hard to tell what I'm actually doing in a calculation.
Apr 7, 2016 at 22:26 comment added knzhou @AccidentalFourierTransform The use of these quantities is that we can calculate them, and see if current conservation $\partial_\mu \langle j^\mu \cdots \rangle$ holds. Since $\partial_\mu \langle j_5^\mu j^\nu j^\rho \rangle \neq 0$, the axial current is not conserved.
Apr 7, 2016 at 22:25 comment added AccidentalFourierTransform or put it another way: if $\langle j^\mu j^\nu\cdots\rangle$ doesn't have a precise meaning, why would $\langle j^\mu_5 j^\nu_5\cdots\rangle$?
Apr 7, 2016 at 22:22 comment added AccidentalFourierTransform as for 3), may I ask what is the meaning of a time-ordered correlation function of $j^\mu$'s? that is, what is the meaning when you use vector currents instead of axial currents? I'm asking because , in my very limited experience with QFT, I've never seen $\langle j^\mu j^\nu\cdots\rangle$, only $\langle j^\mu\rangle$. If $\langle j^\mu j^\nu\cdots\rangle$ doesn't have much use, why would $\langle j^\mu_5 j^\nu_5\cdots\rangle$? [I'm truly curious because I know barely nothing about these matters...]
Apr 7, 2016 at 22:01 answer added ACuriousMind timeline score: 7
Apr 7, 2016 at 0:48 history asked knzhou CC BY-SA 3.0