Elliptic polylogarithms and Feynman parameter integrals
نویسندگان
چکیده
منابع مشابه
Feynman integrals and multiple polylogarithms
In this talk I review the connections between Feynman integrals and multiple polylogarithms. After an introductory section on loop integrals I discuss the Mellin-Barnes transformation and shuffle algebras. In a subsequent section multiple polylogarithms are introduced. Finally, I discuss how certain Feynman integrals evaluate to multiple polylogarithms.
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Contents 1. Introduction 1 1.1. History and motivation 1 1.2. What we do 3 1.3. Plan of the article 3 1.4. Conventions and notations 4 2. The De Rham fundamental groupoid of a punctured elliptic curve 5 2.1. Nilpotent vector bundles 5 2.2. Nilpotent connections with simple poles at the origin 6 3. A universal flat connection over the upper-half plane 10 3.1. Combinatorial conventions and lemmas...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2019
ISSN: 1029-8479
DOI: 10.1007/jhep05(2019)120