Feynman integrals in algebraic geometry

Question

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!

This post imported from StackExchange MathOverflow at 2014-09-04 08:34 (UCT), posted by SE-user soliton

Comments

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.

This post imported from StackExchange MathOverflow at 2014-09-04 08:34 (UCT), posted by SE-user Ryan Budney

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I think that Ryan has a point, although I'd be very interested in what answers show up!

This post imported from StackExchange MathOverflow at 2014-09-04 08:34 (UCT), posted by SE-user user125763

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You should look at the book "Feynman motives" by Marcolli.

This post imported from StackExchange MathOverflow at 2014-09-04 08:34 (UCT), posted by SE-user Dan Petersen

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@DanPetersen: To me, having seen your MO activity, it would be great to read any comments you could give on the subject.

This post imported from StackExchange MathOverflow at 2014-09-04 08:34 (UCT), posted by SE-user user125763

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@user125763 I'm flattered, but I don't think I have much useful to say about this circle of ideas. (And the question is in any case closed!)

This post imported from StackExchange MathOverflow at 2014-09-04 08:34 (UCT), posted by SE-user Dan Petersen

Answer 1

There are many resources where information can be found. For example, look at the slides here and the references therein. Also see these notes and perhaps just look at this proceeding. If you have any questions, feel free to comment or email me.