Periods in Quantum Field Theory and Arithmetic is popular PDF and ePub book, written by José Ignacio Burgos Gil in 2020-03-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Periods in Quantum Field Theory and Arithmetic can be Read Online from any device for your convenience.
Periods in Quantum Field Theory and Arithmetic Book PDF Summary
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 values using Ecalle's theory of moulds and arborification; a distribution formula for generalised complex and l-adic polylogarithms; Galois action on knots. Given its scope, the book offers a valuable resource for researchers and graduate students interested in topics related to both quantum field theory, in particular, scattering amplitudes, and number theory.
Detail Book of Periods in Quantum Field Theory and Arithmetic PDF
- Author : José Ignacio Burgos Gil
- Release : 14 March 2020
- Publisher : Springer Nature
- ISBN : 9783030370312
- Genre : Mathematics
- Total Page : 631 pages
- Language : English
- PDF File Size : 12,7 Mb
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