LEADER 04467nam 2200625 450 001 9910788633803321 005 20220823061203.0 010 $a0-8218-8218-X 035 $a(CKB)3240000000070062 035 $a(EBL)3113301 035 $a(SSID)ssj0000629268 035 $a(PQKBManifestationID)11425381 035 $a(PQKBTitleCode)TC0000629268 035 $a(PQKBWorkID)10717932 035 $a(PQKB)10612968 035 $a(MiAaPQ)EBC3113301 035 $a(RPAM)16578399 035 $a(PPN)197108687 035 $a(EXLCZ)993240000000070062 100 $a20101214h20112011 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCombinatorics and physics $eMini-Workshop on Renormalization, December 15-16, 2006, Max Planck Institut fu?r Mathematik, Bonn, Germany : Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut fu?r Mathematik, Bonn, Germany /$fKurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2011] 210 4$dİ2011 215 $a1 online resource (480 p.) 225 1 $aContemporary mathematics,$v539$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-5329-5 320 $aIncludes bibliographical references. 327 $aContents -- 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's alam 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. 410 0$aContemporary mathematics (American Mathematical Society).$v539$x0271-4132 606 $aRenormalization group$vCongresses 606 $aQuantum field theory$vCongresses 606 $aNumerical integration$vCongresses 615 0$aRenormalization group 615 0$aQuantum field theory 615 0$aNumerical integration 676 $a530.14/3 686 $a81T15$a65D30$2msc 702 $aEbrahimi-Fard$b Kurusch$f1973- 702 $aMarcolli$b Matilde 702 $aSuijlekom$b Walter D. van.$f1978- 712 02$aMax-Planck-Institut fu?r Mathematik, 712 12$aConference on Combinatorics and Physics$f(2007 :$eMax Planck Institut fu?r Mathematik), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788633803321 996 $aCombinatorics and physics$9763454 997 $aUNINA