书目名称 | Periods in Quantum Field Theory and Arithmetic | 副标题 | ICMAT, Madrid, Spain | 编辑 | José Ignacio Burgos Gil,Kurusch Ebrahimi-Fard,Herb | 视频video | | 概述 | Contains articles from distinguished experts in both Theoretical Physics and Pure Mathematics.Offers a unique perspective on ideas and modern developments at the interface between quantum field theory | 丛书名称 | Springer Proceedings in Mathematics & Statistics | 图书封面 |  | 描述 | .This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory‘‘ at the ICMAT (Instituto de Ciencias Matemáticas, Madrid) in 2014. The activity was aimed at understanding and deepening recent developments where Feynman and string amplitudes on the one hand, and periods and multiple zeta values on the other, have been at the heart of lively and fruitful interactions between theoretical physics and number theory over the past few decades. .In this book, the reader will find research papers as well as survey articles, including open problems, on the interface between number theory, quantum field theory and string theory, written by leading experts in the respective fields. Topics include, among others, elliptic periods viewed from both a mathematical and a physical standpoint; further relations between periods and high energy physics, including cluster algebras and renormalisation theory; multiple Eisenstein series and q-analogues of multiple zeta values (also in connection with renormalisation); double shuffle and duality relations; alternative presentations of multiple zeta v | 出版日期 | Conference proceedings 2020 | 关键词 | 11M32, 17B81, 20E08, 11G09; periods; multiple zeta values; Feynman amplitudes; polylogarithms; elliptic d | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-37031-2 | isbn_softcover | 978-3-030-37033-6 | isbn_ebook | 978-3-030-37031-2Series ISSN 2194-1009 Series E-ISSN 2194-1017 | issn_series | 2194-1009 | copyright | Springer Nature Switzerland AG 2020 |
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