Grassmannian Geometry of Scattering Amplitudes - Couverture rigide

Arkani-Hamed, Nima; Bourjaily, Jacob; Cachazo, Freddy; Goncharov, Alexander; Postnikov, Alexander; Trnka, Jaroslav

Couverture rigide

ISBN 10 : 1107086582 ISBN 13 : 9781107086586

Editeur : Cambridge University Press, 2016

Synopsis

Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric Yang–Mills theory. The book begins by deriving connections between scattering amplitudes and Grassmannian geometry from first principles before introducing novel physical and mathematical ideas in a systematic manner accessible to both physicists and mathematicians. The principle players in this process are on-shell functions which are closely related to certain sub-strata of Grassmannian manifolds called positroids - in terms of which the classification of on-shell functions and their relations becomes combinatorially manifest. This is an essential introduction to the geometry and combinatorics of the positroid stratification of the Grassmannian and an ideal text for advanced students and researchers working in the areas of field theory, high energy physics, and the broader fields of mathematical physics.

A propos du livre

À propos des auteurs

Nima Arkani-Hamed is Professor of Physics at the Institute for Advanced Study, Princeton.

Jacob Bourjaily is Assistant Professor of Physics at the Niels Bohr International Academy and Discovery Center at the University of Copenhagen.

Freddy Cachazo is the Gluskin Sheff Freeman Dyson Chair in Theoretical Physics at the Perimeter Institute for Theoretical Physics, Ontario.

Alexander Goncharov is Professor of Mathematics at Yale University, Connecticut.

Alexander Postnikov is Professor of Applied Mathematics and Algebraic Combinatorics at the Massachusetts Institute of Technology.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 1107086582
• ISBN 13: 9781107086586
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 201
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France