Introduction to Feynman Integrals

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.

Comments: 43 pages, lectures given at the summer school "Geometric and Topological Methods for Quantum Field Theory", July 2009, Villa de Leyva, Colombia