Periods in Quantum Field Theory and Arithmetic: ICMAT, Madrid, Spain, September 15 – December 19, 2014 (Springer Proceedings in Mathematics & Statistics (314))

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Posted on 2020-03-14, by books_lover.

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Periods in Quantum Field Theory and Arithmetic: ICMAT, Madrid, Spain, September 15 – December 19, 2014 (Springer Proceedings in Mathematics & Statistics (314))
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
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