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Combinatorics and Physics

Author: Kurusch Ebrahimi-Fard; Matilde Marcolli; Walter D van Suijlekom; Mini-Workshop on Renormalization
Publisher: Providence : American Mathematical Society, 2011.
Series: Contemporary Mathematics.
Edition/Format:   eBook : Document : English
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version
Ebrahimi-Fard, Kurusch
Combinatorics and Physics
Providence : American Mathematical Society,c2011
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Kurusch Ebrahimi-Fard; Matilde Marcolli; Walter D van Suijlekom; Mini-Workshop on Renormalization
ISBN: 0821853295 9780821853290 9780821882184 082188218X
OCLC Number: 990402387
Language Note: English.
Notes: Description based upon print version of record.
Description: 1 online resource (480 p.)
Contents: ""Contents""; ""Preface""; ""List of participants""; ""One-particle irreducibility with initial correlations""; ""Multiple zeta values and periods: From moduli spaces to Feynman integrals""; ""From quantum electrodynamics to posets of planar binary trees""; ""Sweedler's duals and Schutzenberger's calculus""; ""Primitive elements of the Hopf algebra of free quasi-symmetric functions""; ""A Renormalisation Group approach to Stochastic Loewner Evolutions""; ""On the causal gauge principle""; ""1. Introduction""; ""2. Overview of the CGI method""; ""3. The abelian model""; ""4. Three MVBs"" ""5. The Weinberg�Salam model within CGI""""6. Discussion""; ""References""; ""Abstract integration, combinatorics of trees and differential equations""; ""Rooted trees appearing in products and co-products""; ""Magnus expansions and beyond""; ""Wilsonian renormalization, differential equations and Hopf algebras""; ""1. Introduction""; ""2. Basics of wilsonian renormalization""; ""3. Rooted trees and power series of non linear operators""; ""4. Renormalization, effective actions and Feynman diagrams""; ""5. Conclusion and outlook""; ""Acknowledgements""; ""References"" ""Algebraic analysis of non-renormalization theorems in supersymmetric field theories""""Not so non-renormalizable gravity""; ""Renormalised multiple zeta values which respect quasi-shuffle relations""; ""Formulas for the Connes�Moscovici Hopf algebra""; ""Hopf algebras and the combinatorics of connected graphs in quantum field theory""; ""Hopf Algebras of Formal Diffeomorphisms and Numerical Integration on Manifolds""; ""A combinatorial and field theoretic path to quantum gravity: The new challenges of group field theory"" ""Noncommutative formal Taylor expansions and second quantised regularised traces""""Motives: An introductory survey for physicists""; ""1. Introduction""; ""2. The Grothendieck ring""; ""3. The Tannakian formalism""; ""4. Weil cohomology""; ""5. Classical motives""; ""6. Mixed motives""; ""7. Motivic measures and zeta functions""; ""Appendix A. Motivic ideas in physics (by M.Marcolli)""; ""References""; ""Combinatorics and Feynman graphs for gauge theories""; ""Multi-scale Analysis and Non-commutative Field Theory""
Series Title: Contemporary Mathematics.
Other Titles: Contemporary Mathematics
Contemporary Mathematics, Volume 539
Combinatorics and physics: Mini-Workshop on Renormalization, December 15-16, 2006, Max Planck Institut fèur Mathematik, Bonn, Germany : Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut fèur Mathematik, Bonn, Germany

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