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In quantum field theory, multi-loop Feynman integrals are basic ingredients of calculating high order corrections. Recently, I have come across the paper A Feynman integral via higher normal functions. It seems that Feynman integrals have some relations to algebraic geometry. Since I am physics-oriented, I don't know much about algebraic geometry. Could anyone provide some explanations or expository articles on this topic? Thanks a lot!

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    $\begingroup$ This is somewhat of a borderline question for the forum. Generally "tell me about stuff" requests don't do very well. It might make sense to start a meta thread where you could refine your question beforehand. $\endgroup$
    – Ryan Budney
    Commented Sep 3, 2014 at 16:07
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    $\begingroup$ I think that Ryan has a point, although I'd be very interested in what answers show up! $\endgroup$
    – bananastack
    Commented Sep 3, 2014 at 16:08
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    $\begingroup$ You should look at the book "Feynman motives" by Marcolli. $\endgroup$
    – Dan Petersen
    Commented Sep 3, 2014 at 17:14
  • $\begingroup$ @DanPetersen: To me, having seen your MO activity, it would be great to read any comments you could give on the subject. $\endgroup$
    – bananastack
    Commented Sep 3, 2014 at 19:57
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    $\begingroup$ see physicsoverflow.org/23192 for an answer. $\endgroup$
    – Arnold Neumaier
    Commented Sep 11, 2014 at 7:37

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