LEADER 04527nam 2200649 450 001 9910480290103321 005 20170814182055.0 010 $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(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 $aContemporary mathematics ;$vvolume 539 300 $aDescription based upon print version of record. 311 $a0-8218-5329-5 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""5. The Weinberga???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"" 327 $a""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 Connesa???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"" 327 $a""Noncommutative formal Taylor expansions and second quantised regularised traces""""Motives: An introductory survey for physicists""; ""1. Introduction""; ""2. The Grothendieck ring""; ""3. The Tannakian formalism""; ""4. Weil cohomology""; ""5. Classical motives""; ""6. Mixed motives""; ""7. Motivic measures and zeta functions""; ""Appendix A. Motivic ideas in physics (by M.Marcolli)""; ""References""; ""Combinatorics and Feynman graphs for gauge theories""; ""Multi-scale Analysis and Non-commutative Field Theory"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 539. 606 $aRenormalization group$vCongresses 606 $aQuantum field theory$vCongresses 606 $aNumerical integration$vCongresses 608 $aElectronic books. 615 0$aRenormalization group 615 0$aQuantum field theory 615 0$aNumerical integration 676 $a530.14/3 702 $aEbrahimi-Fard$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 $a9910480290103321 996 $aCombinatorics and physics$9763454 997 $aUNINA