Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 26, 2012, Institute de Ciencias Matemáticas, Madrid, Spain
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The work Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 26, 2012, Institute de Ciencias Matemáticas, Madrid, Spain represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 26, 2012, Institute de Ciencias Matemáticas, Madrid, Spain
Resource Information
The work Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 26, 2012, Institute de Ciencias Matemáticas, Madrid, Spain represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 26, 2012, Institute de Ciencias Matemáticas, Madrid, Spain
 Title remainder
 international research workshop, periods and motives : a modern perspective on renormalization : July 26, 2012, Institute de Ciencias Matemáticas, Madrid, Spain
 Statement of responsibility
 Luis ÁlvarezCónsul, Jose Ignacio BurgosGil, Kurusch EbrahimiFard, editors
 Subject

 Algebraic geometry  Cycles and subschemes  (Equivariant) Chow groups and rings; motives
 Algebraic geometry  Cycles and subschemes  Algebraic cycles
 Associative rings and algebras  Hopf algebras, quantum groups and related topics  Hopf algebras and their applications
 Conference papers and proceedings
 Mathematical physics
 Mathematical physics  Congresses
 Number theory  Algebraic number theory: local and $p$adic fields  Zeta functions and $L$functions
 Number theory  Zeta and $L$functions: analytic theory  Multiple Dirichlet series and zeta functions and multizeta values
 Perturbation (Mathematics)
 Perturbation (Mathematics)  Congresses
 Perturbation (Quantum dynamics)
 Perturbation (Quantum dynamics)  Congresses
 Quantum field theory
 Quantum field theory  Congresses
 Quantum theory  General mathematical topics and methods in quantum theory  Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
 Quantum theory  Quantum field theory; related classical field theories  Feynman diagrams
 Quantum theory  Quantum field theory; related classical field theories  Perturbative methods of renormalization
 Several complex variables and analytic spaces  Deformations of analytic structures  Period matrices, variation of Hodge structure; degenerations
 Algebraic geometry  (Co)homology theory  Motivic cohomology; motivic homotopy theory
 Language
 eng
 Summary
 This volume contains the proceedings of the International Research Workshop on Periods and MotivesA Modern Perspective on Renormalization, held from July 26, 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
 Cataloging source
 DLC
 Dewey number
 530.15
 Illustrations
 illustrations
 Index
 no index present
 LC call number
 QC20
 LC item number
 .F39 2015
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Contemporary mathematics
 Series volume
 648
Context
Context of Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 26, 2012, Institute de Ciencias Matemáticas, Madrid, SpainWork of
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