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May 2, 2019 at 15:05 history edited knzhou CC BY-SA 4.0
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May 2, 2019 at 10:19 history edited knzhou CC BY-SA 4.0
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May 2, 2019 at 10:18 comment added knzhou @DvijMankad I wasn't aware! I do know that Srednicki is less sloppy than a lot of other QFT texts but I haven't gone through it in detail.
May 2, 2019 at 10:01 vote accept amilton moreira
May 2, 2019 at 9:07 comment added user87745 @knzhou I think Srednicki's presentation in Chapter $22$ is pretty similar to what you are saying. He doesn't consider any coordinate changes at all and talks purely about true field transformations at each point with the coordinates untouched, i.e., $\phi(x)\to\phi(x)+\delta\phi(x)$. This seems to make it manifest that we are not doing some trivial transformations. Correct me if there is some subtle sloppiness I am missing.
May 2, 2019 at 8:59 comment added knzhou @amiltonmoreira Sorry, I don't have one from a textbook; if anything they just get more and more sloppy the more advanced they get. But do look at the top answers in the questions you linked earlier, they're good.
May 2, 2019 at 8:56 comment added amilton moreira could you give me a reference where this proof is made right?
May 2, 2019 at 8:55 comment added knzhou @amiltonmoreira Because they learned it from other people who also used this bad presentation. It's sad but true: there are about 50 things in the undergraduate physics curriculum that are almost always presented extremely poorly by tradition, and this is one of them. Everybody I know has had to get around each of these potholes themselves.
May 2, 2019 at 8:53 comment added amilton moreira you are right. But my question is why the text books insist in this presentation?
May 2, 2019 at 8:40 history answered knzhou CC BY-SA 4.0