2010•arXiv (Cornell University)Open access

Introduction to Feynman Integrals

Stefan Weinzierl

Abstract

In these lectures I will give an introduction to Feynman integrals. In the first part of the course I review the basics of the perturbative expansion in quantum field theories. In the second part of the course I will discuss more advanced topics: Mathematical aspects of loop integrals related to periods, shuffle algebras and multiple polylogarithms are covered as well as practical algorithms for evaluating Feynman integrals.

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Key concepts: Feynman integral, Feynman diagram, Quantum field theory, Feynman graph, Field (mathematics), Mathematics, Order of integration (calculus), Calculus (dental)