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Periods in Quantum Field Theory and Arithmetic - 9783030370336

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Item specifics

Condition
New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Periods in Quantum Field Theory and Arithmetic
ISBN
9783030370336
Publication Name
Periods in Quantum Field Theory and Arithmetic: ICMAT, Madrid, Spain, September 15 - December 19, 2014
Publisher
Springer Nature Switzerland A&G
Subject
Mathematics
Publication Year
2021
Series
Springer Proceedings in Mathematics & Statistics
Type
Textbook
Format
Paperback
Language
English
Item Height
235 mm
Author
Herbert Gangl, Jose Ignacio Burgos Gil, Kurusch Ebrahimi-Fard
Item Weight
1133 g
Item Width
155 mm
Number of Pages
630 Pages

About this product

Product Information

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 Matematicas, 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.

Product Identifiers

Publisher
Springer Nature Switzerland A&G
ISBN-13
9783030370336
eBay Product ID (ePID)
27049043973

Product Key Features

Number of Pages
630 Pages
Publication Name
Periods in Quantum Field Theory and Arithmetic: ICMAT, Madrid, Spain, September 15 - December 19, 2014
Language
English
Subject
Mathematics
Publication Year
2021
Type
Textbook
Author
Herbert Gangl, Jose Ignacio Burgos Gil, Kurusch Ebrahimi-Fard
Series
Springer Proceedings in Mathematics & Statistics
Format
Paperback

Dimensions

Item Height
235 mm
Item Weight
1133 g
Item Width
155 mm
Volume
314

Additional Product Features

Editor
Jose Ignacio Burgos Gil, Kurusch Ebrahimi-Fard, Herbert Gangl
Country/Region of Manufacture
Switzerland

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