Feynman Graphs

DOI10.1007/978-3-7091-1616-6_16zbMATH Open1308.81142arXiv1301.6918OpenAlexW4247546205MaRDI QIDQ5244930

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Publication date: 1 April 2015

Published in: (Search for Journal in Brave)

Abstract: In these lectures I discuss Feynman graphs and the associated Feynman integrals. Of particular interest are the classes functions, which appear in the evaluation of Feynman integrals. The most prominent class of functions is given by multiple polylogarithms. The algebraic properties of multiple polylogarithms are reviewed in the second part of these lectures. The final part of these lectures is devoted to Feynman integrals, which cannot be expressed in terms of multiple polylogarithms. Methods from algebraic geometry provide tools to tackle these integrals.

Full work available at URL: https://arxiv.org/abs/1301.6918

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