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Feb 23, 2020 at 18:07 comment added jack @JahanClaes Thank you for clearing this out, It is obvious that it does not diverge, it's just a 101 math. And yes, of course you can have dipoles with $1/r^3$ in 2D.
Feb 23, 2020 at 3:42 comment added Jahan Claes @DavidSaykin the integral doesn’t diverge! And I think OP is talking about physical dipoles confined to a 2D plane, which have $1/r^3$ interactions as claimed.
Feb 23, 2020 at 1:58 history asked jack CC BY-SA 4.0