Feynman Motives

Langue : anglais

Edité par World Scientific Publishing Co Pte Ltd, SG, 2010

9814304484 / 9789814304481

Vendeur : Rarewaves.com USA, London, London, Royaume-UniRarewaves.com USA

Vendeur avec une évaluation de 5 étoiles

Vendeur AbeBooks depuis 11 juin 2025

Afficher les articles de ce vendeur
Livre broché

Etat: Neuf

EUR 26,72

 Frais de port gratuits 
Expédition depuis Royaume-Uni vers Etats-Unis

Quantité disponible : 4 disponible(s)

Ajouter au panier
Retours gratuits sous 30 jours

Item description from seller

This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods. One of the main questions in the field is understanding when the residues of Feynman integrals in perturbative quantum field theory evaluate to periods of mixed Tate motives. The question originates from the occurrence of multiple zeta values in Feynman integrals calculations observed by Broadhurst and Kreimer.Two different approaches to the subject are described. The first, a "bottom-up" approach, constructs explicit algebraic varieties and periods from Feynman graphs and parametric Feynman integrals. This approach, which grew out of work of Bloch-Esnault-Kreimer and was more recently developed in joint work of Paolo Aluffi and the author, leads to algebro-geometric and motivic versions of the Feynman rules of quantum field theory and concentrates on explicit constructions of motives and classes in the Grothendieck ring of varieties associated to Feynman integrals. While the varieties obtained in this way can be arbitrarily complicated as motives, the part of the cohomology that is involved in the Feynman integral computation might still be of the special mixed Tate kind. A second, "top-down" approach to the problem, developed in the work of Alain Connes and the author, consists of comparing a Tannakian category constructed out of the data of renormalization of perturbative scalar field theories, obtained in the form of a Riemann-Hilbert correspondence, with Tannakian categories of mixed Tate motives. The book draws connections between these two approaches and gives an overview of other ongoing directions of research in the field, outlining the many connections of perturbative quantum field theory and renormalization to motives, singularity theory, Hodge structures, arithmetic geometry, supermanifolds, algebraic and non-commutative geometry.The text is aimed at researchers in mathematical physics, high energy physics, number theory and algebraic geometry. Partly based on lecture notes for a graduate course given by the author at Caltech in the fall of 2008, it can also be used by graduate students interested in working in this area.

N° de réf. du vendeur LU-9789814304481

Titre
Feynman Motives
Auteur
Matilde Marcolli
Éditeur
World Scientific Publishing Co Pte Ltd, SG
Année de publication
2010
État de l'article
New
Reliure
Paperback
Langue
anglais
ISBN à 10 chiffres
9814304484
ISBN à 13 chiffres
9789814304481

Rarewaves.com USA

London, London, Royaume-Uni

Vendeur avec une évaluation de 5 étoiles

Vendeur AbeBooks depuis 11 juin 2025

Frais d'expédition de Royaume-Uni vers Etats-Unis

Article11 à 16 jours ouvrés11 à 16 jours ouvrés
Premier articleEUR 0,00EUR 0,00
Les délais de livraison sont fixés par les vendeurs et varient en fonction du transporteur et du lieu. Les commandes transitant par les douanes peuvent être retardées et les acheteurs sont responsables de tous les droits ou frais associés. Les vendeurs peuvent vous contacter au sujet de frais supplémentaires afin de couvrir toute augmentation des coûts d'expédition de vos articles.

Modes de paiement

  • Visa
  • Mastercard
  • American Express
  • Carte Bleue
  • Apple Pay
  • Google Pay

Profil professionnel du vendeur

RAREWAVES.COM LIMITED

Elsley Court, 20-22 Great Titchfield Street
London, Royaume-Uni W1W 8BE