The Resource Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain, Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors
Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain, Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors
Resource Information
The item Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain, Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain, Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- viii, 289 pages
- Contents
-
- A note on twistor integrals
- Multiple polylogarithms and linearly reducible Feynman graphs
- Comparison of motivic and simplicial operations in mod-l-motivic and étale cohomology
- On the Broadhurst-Kreimer generating series for multiple zeta values
- Dyson-Schwinger equations in the theory of computation
- Scattering amplitudes, Feynman integrals and multiple polylogarithms
- Equations D3 and spectral elliptic curves
- Quantum fields, periods and algebraic geometry
- Renormalization, Hopf algebras and Mellin transforms
- Multiple zeta value cycles in low weight
- Periods and Hodge structures in perturbative quantum field theory
- Some combinatorial interpretations in perturbative quantum field theory
- Isbn
- 9781470422479
- Label
- Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain
- Title
- Feynman amplitudes, periods, and motives
- Title remainder
- international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain
- Statement of responsibility
- Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, 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 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
- 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
- http://bibfra.me/vocab/lite/meetingDate
- 2012
- http://bibfra.me/vocab/lite/meetingName
- International Research Workshop on Periods and Motives - A Modern Perspective on Renormalization
- Nature of contents
- bibliography
- http://library.link/vocab/relatedWorkOrContributorDate
-
- 1970-
- 1962-
- 1973-
- http://library.link/vocab/relatedWorkOrContributorName
-
- Álvarez-Cónsul, Luis
- Burgos Gil, José I.
- Ebrahimi-Fard, Kurusch
- Series statement
- Contemporary mathematics
- Series volume
- 648
- http://library.link/vocab/subjectName
-
- Mathematical physics
- Perturbation (Quantum dynamics)
- Perturbation (Mathematics)
- Quantum field theory
- 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
- Algebraic geometry -- Cycles and subschemes -- Algebraic cycles
- Algebraic geometry -- Cycles and subschemes -- (Equivariant) Chow groups and rings; motives
- Algebraic geometry -- (Co)homology theory -- Motivic cohomology; motivic homotopy theory
- Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications
- Several complex variables and analytic spaces -- Deformations of analytic structures -- Period matrices, variation of Hodge structure; degenerations
- 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 -- Perturbative methods of renormalization
- Quantum theory -- Quantum field theory; related classical field theories -- Feynman diagrams
- Mathematical physics
- Perturbation (Mathematics)
- Perturbation (Quantum dynamics)
- Quantum field theory
- Label
- Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain, Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors
- Bibliography note
- Includes bibliographical references
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- A note on twistor integrals -- Multiple polylogarithms and linearly reducible Feynman graphs -- Comparison of motivic and simplicial operations in mod-l-motivic and étale cohomology -- On the Broadhurst-Kreimer generating series for multiple zeta values -- Dyson-Schwinger equations in the theory of computation -- Scattering amplitudes, Feynman integrals and multiple polylogarithms -- Equations D3 and spectral elliptic curves -- Quantum fields, periods and algebraic geometry -- Renormalization, Hopf algebras and Mellin transforms -- Multiple zeta value cycles in low weight -- Periods and Hodge structures in perturbative quantum field theory -- Some combinatorial interpretations in perturbative quantum field theory
- Control code
- 907132659
- Dimensions
- 26 cm
- Extent
- viii, 289 pages
- Isbn
- 9781470422479
- Isbn Type
- (alk. paper)
- Lccn
- 2015010413
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- Other physical details
- illustrations
- Specific material designation
- regular print
- System control number
- (OCoLC)907132659
- Label
- Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain, Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors
- Bibliography note
- Includes bibliographical references
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- A note on twistor integrals -- Multiple polylogarithms and linearly reducible Feynman graphs -- Comparison of motivic and simplicial operations in mod-l-motivic and étale cohomology -- On the Broadhurst-Kreimer generating series for multiple zeta values -- Dyson-Schwinger equations in the theory of computation -- Scattering amplitudes, Feynman integrals and multiple polylogarithms -- Equations D3 and spectral elliptic curves -- Quantum fields, periods and algebraic geometry -- Renormalization, Hopf algebras and Mellin transforms -- Multiple zeta value cycles in low weight -- Periods and Hodge structures in perturbative quantum field theory -- Some combinatorial interpretations in perturbative quantum field theory
- Control code
- 907132659
- Dimensions
- 26 cm
- Extent
- viii, 289 pages
- Isbn
- 9781470422479
- Isbn Type
- (alk. paper)
- Lccn
- 2015010413
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- Other physical details
- illustrations
- Specific material designation
- regular print
- System control number
- (OCoLC)907132659
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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Feynman-amplitudes-periods-and-motives-/gHXVhnzcJqY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Feynman-amplitudes-periods-and-motives-/gHXVhnzcJqY/">Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain, Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>