Notes on Feynman Integrals and Renormalization

Details Notes on Feynman Integrals and Renormalization Notes on Feynman Integrals and Renormalization

2010-05-21

arxiv.org/abs/1005.3960v1

Physics

High Energy Physics

High Energy Physics - Theory

39p

Scientific paper

I review various aspects of Feynman integrals, regularization and renormalization. Following Bloch, I focus on a linear algebraic approach to the Feynman rules, and I try to bring together several renormalization methods found in the literature from a unifying point of view, using resolutions of singularities. In the second part of the paper, I briefly sketch the work of Belkale, Brosnan resp. Bloch, Esnault and Kreimer on the motivic nature of Feynman integrals.

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