Une pure merveille !
Un roman d'une grande beauté, drôle, fin, extrêmement lumineux sur des sujets difficiles : la perte de
l'être aimé, la dureté de la vie et la tristesse qu'on barricade parfois... Elise franco-japonaise,
orpheline de sa maman veut poser LA question à son père et elle en trouvera le courage au fil des pages,
grâce au retour de sa grand-mère du japon, de sa rencontre avec son extravagante amie Stella..
Ensemble il ne diront plus Sayonara mais Mata Ne !
This book provides an accessible and up-to-date introduction to how knot theory and Feynman diagrams can be used to illuminate problems in quantum field...
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Résumé
This book provides an accessible and up-to-date introduction to how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory.
Beginning with a summary of key ideas from perturbative quantum field theory and an introduction to the Hopf algebra structure of renormalisation, early chapters discuss the rationality of ladder diagrams and simple link diagrams. The necessary basics of knot theory are then presented and the number-theoretic relationship between the topology of Feynman diagrams and knot theory is explored. Later chapters discuss four-term relations motivated by the discovery of Vassiliev invariants in knot theory and draw a link to algebraic structures recently observed in noncommutative geometry. Detailed references are included.
Dealing with material at perhaps the most productive interface between mathematics and physics, the book will not only bc of considerable interest to theoretical and particle physicists, but also to many mathematicians.
Sommaire
Perturbative quantum field theory
The Hopf algebra structure of renormalisation
Rationality: no knots, no transcendentals
The simplest topics link diagrams
Knots to number: (2,2n-3) torus knots and (2n-3)
One-loop words
Euler-Zagier sums
Knots and transcendentals
The four-term relation
Hopf algebras, non-communicative geometry, and what else?