Feynman amplitudes, periods, and motives : international research conference on periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain /

Feynman amplitudes, periods, and motives : international research conference on periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain /

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Bibliographic Details
Meeting name:	International Research Workshop on Periods and Motives - A Modern Perspective on Renormalization (2012 : Madrid, Spain)
Imprint:	Providence, Rhode Island : American Mathematical Society, [2015] ©2015
Description:	viii, 289 pages : illustrations ; 26 cm.
Language:	English
Series:	Contemporary mathematics ; 648 Contemporary mathematics (American Mathematical Society) ; v. 648.
Subject:	Mathematical physics -- Congresses. Perturbation (Quantum dynamics) -- Congresses. Perturbation (Mathematics) -- Congresses. Quantum field theory -- Congresses. Mathematical physics. Perturbation (Mathematics) Perturbation (Quantum dynamics) Quantum field theory. Conference papers and proceedings.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/10448776

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Other authors / contributors:	Álvarez-Cónsul, Luis, 1970- editor. Burgos Gil, José I. (José Ignacio), 1962- editor. Ebrahimi-Fard, Kurusch, 1973- editor.
ISBN:	9781470422479 (alk. paper) 1470422476 (alk. paper)
Notes:	Includes bibliographical references.
Summary:	This volume contains the proceedings of the International Research Workshop on Periods and Motives--A Modern Perspective on Renormalization, held from July 2-6, 2012, at the Instituto de Ciencias Matemáticas, Madrid, Spain. Feynman amplitudes are integrals attached to Feynman diagrams by means of Feynman rules. They form a central part of perturbative quantum field theory, where they appear as coefficients of power series expansions of probability amplitudes for physical processes. The efficient computation of Feynman amplitudes is pivotal for theoretical predictions in particle physics. Periods are numbers computed as integrals of algebraic differential forms over topological cycles on algebraic varieties. The term originated from the period of a periodic elliptic function, which can be computed as an elliptic integral. Motives emerged from Grothendieck's "universal cohomology theory", where they describe an intermediate step between algebraic varieties and their linear invariants (cohomology). The theory of motives provides a conceptual framework for the study of periods. In recent work, a beautiful relation between Feynman amplitudes, motives and periods has emerged. The articles provide an exciting panoramic view on recent developments in this fascinating and fruitful interaction between pure mathematics and modern theoretical physics.

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Call Number:	QC20.F39 2015
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