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Oct 22, 2021 at 16:29 comment added Prahar No. It holds in any signature. There are infinitely many terms in the correction. The exponential function has a whole Taylor expansion that you need to use to derive the action in D. you can’t just stop at the linear or quadratic level.
Oct 22, 2021 at 16:18 comment added 11Elves Thats only because we're in euclidean spacetime, right? Isn't the correction $(x^\mu\partial_\mu)^2$?
Oct 22, 2021 at 14:19 history edited Qmechanic CC BY-SA 4.0
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Oct 22, 2021 at 13:38 answer added Cosmas Zachos timeline score: 4
Oct 22, 2021 at 12:50 comment added Prahar Your action of $D$ is incorrect. The corrections are $O((x \cdot \partial)^2)$ which contains a linear term as well so act non-trivially on $x^\nu$. You cannot neglect them. PS - you need $( x \cdot \partial )^n x^\mu = x^\mu$ for any $n$.
S Oct 22, 2021 at 11:05 review First questions
Oct 22, 2021 at 11:19
S Oct 22, 2021 at 11:05 history asked 11Elves CC BY-SA 4.0