MARC Record from marc_columbia

LEADER: 04349cam a2200589Ma 4500
001 16273007
005 20220528225541.0
006 m o d
007 cr |n|||||||||
008 100125s2009 sz a ob 100 0 eng d
035 $a(OCoLC)ocn655649616
035 $a(NNC)16273007
040 $aCOO$beng$cCOO$dOCLCQ$dOCLCF$dOCLCO$dOCL$dOCLCQ$dLLB$dOCLCQ$dSTF$dOCLCA$dINT$dOCLCQ$dOCLCO$dN$T$dOCLCO
020 $a9783037190739$q(pbk.)
020 $a3037190736$q(pbk.)
020 $a9783037195734$q(electronic bk.)
020 $a3037195738$q(electronic bk.)
035 $a(OCoLC)655649616
050 14 $aQC174.17.R46$bR45 2009
082 04 $a530.14/3$222
084 $a14-xx$a81-xx$2msc
049 $aZCUA
245 00 $aRenormalization and Galois theories /$cAlain Connes, Frédéric Fauvet, Jean-Pierre Ramis, editors.
260 $aZürich :$bEuropean Mathematical Society,$c©2009.
300 $a1 online resource (viii, 270 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aIRMA lectures in mathematics and theoretical physics ;$v15
500 $a"This volume presents a selection of worked-out lectures ... that were held in March 2006 at the workshop 'Renormalization and Galois theories' at CIRM, Marseilles, France."--Preface.
504 $aIncludes bibliographical references.
505 00 $tNoncommutative geometry and motives (à quoi servent les endomotifs?) /$rCaterina Consani --$tRenormalisation of non-commutative field theories /$rVincent Rivasseau, Fabien Vignes-Tourneret --$tMould expansions for the saddle-node and resurgence monomials /$rDavid Sauzin --$tGalois theory, motives and transcendental numbers /$rYves André --$tThe combinatorics of Bogoliubov's recursion in renormalization /$rKurusch Ebrahimi-Fard, Dominique Manchon --$t(Non)commutative Hopf algebras of trees and (quasi)symmetric functions /$rMichael E. Hoffman --$tFormal differential equations and renormalization /$rFrédéric Menous --$tFeynman integrals and multiple polylogarithms /$rStefan Weinzierl.
520 $aThis volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory. The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopf-algebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions. The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both reseachers and graduate students in mathematics and physics.
650 0 $aRenormalization (Physics)$vCongresses.
650 0 $aGalois theory$vCongresses.
650 6 $aRenormalisation (Physique)$vCongrès.
650 6 $aThéorie de Galois$vCongrès.
650 07 $aAlgebraic geometry.$2bicssc
650 7 $aGalois theory.$2fast$0(OCoLC)fst00937326
650 7 $aRenormalization (Physics)$2fast$0(OCoLC)fst01094652
650 07 $aAlgebraic geometry.$2msc
650 07 $aQuantum theory.$2msc
655 4 $aElectronic books.
655 7 $aConference papers and proceedings.$2fast$0(OCoLC)fst01423772
700 1 $aConnes, Alain.
700 1 $aFauvet, F.$q(Frédéric)
700 1 $aRamis, J.-P.$q(Jean-Pierre)
710 2 $aCentre national de rencontres mathématiques (France)
710 2 $aEuropean Mathematical Society.
830 0 $aIRMA lectures in mathematics and theoretical physics ;$v15.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16273007$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS