I am studying a bit of theoretical physics (QFT and string theory), and I obviously stumbled upon dimensional regularization. I have been told that this technique has in fact a solid mathematical theory behind. I'd like to learn more on this, and I was wondering if anyone got some nice reference on the subject (books or papers are well accepted).

Thanks in advance.

I have found this script of prof. Eric Sharpe. It is a good explanation of the "how to", but it still doesn't explain when it's possible/sensible to apply dimensional regularization, nor why/when does it work (mathematically speaking).

I am also trying to read a paper a professor of mathematical physics gave me on the subject. If/when I'll understand it I will edit this post once again, or write an answer myself (if meanwhile nobody else does).

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    $\begingroup$ Cf. mathoverflow.net/questions/138005/… perhaps? $\endgroup$ – Branimir Ćaćić Oct 22 '13 at 18:50
  • $\begingroup$ @BranimirĆaćić Thanks for the reference. I tried to take a look at the paper cited in the answer to that question, but it's too deep in QFT for me to understand with my very limited knowledge of the subject. $\endgroup$ – Daniel Robert-Nicoud Oct 26 '13 at 17:33
  • $\begingroup$ If this is still of interest, take a look at this question on Physics. $\endgroup$ – David Z Dec 5 '14 at 6:56
  • $\begingroup$ @DavidZ Thanks. :) $\endgroup$ – Daniel Robert-Nicoud Dec 7 '14 at 13:23

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