Periods in Quantum Field Theory and Arithmetic : ICMAT, Madrid, Spain, September 15 – December 19, 2014. 1st ed. 2020

種類:

電子ブック

責任表示:

edited by José Ignacio Burgos Gil, Kurusch Ebrahimi-Fard, Herbert Gangl

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Burgos Gil, José Ignacio.
• Ebrahimi-Fard, Kurusch.
• Gangl, Herbert.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 314

ISBN:

9783030370312 [3030370313]    

注記:

I. Todorov, Perturbative quantum field theory meets number theory -- E. Panzer, Some open problems on Feynman periods -- S. Stieberger, Periods and Superstring Amplitudes -- O. Schlotterer -- The number theory of superstring amplitudes -- N. Matthes, Overview On Elliptic Multiple Zeta Values -- L. Adams, C. Bogner, S. Weinzierl, The Elliptic Sunrise -- C. Vergu, Polylogarithm identities, cluster algebras and the N = 4 supersymmetric theory -- H. Bachmann, Multiple Eisenstein series and q-analogues of multiple zeta values -- H. Bachmann, U. Kühn, A dimension conjecture for q-analogues of multiple zeta values -- J. Zhao, Uniform Approach to Double Shuffle and Duality Relations of Various q-Analogs of Multiple Zeta Values via Rota-Baxter Algebras -- J. Singer, q-Analogues of multiple zeta values and their applications in renormalization -- N. M. Nikolov, Vertex algebras and renormalization -- K. Rejzner, Renormalization and periods in perturbative Algebraic Quantum Field Theory -- C. Malvenuto, F. Patras, Symmet
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

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