Grassmannian geometry of scattering amplitudes
type: Item
instance of: scholarly article
zbMATH Open document ID: 1365.81004
DOI: 10.1017/CBO9781316091548
author: Nima Arkani-Hamed
author: Alexander Postnikov
author: Jaroslav Trnka
author: Jacob L. Bourjaily
author: Freddy Cachazo
author: A. B. Goncharov
publication date: 2016-04-04T00:00:00Z
Mathematics Subject Classification ID: 81-02
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 81T25
Mathematics Subject Classification ID: 14M15
zbMATH DE Number: 6562468
zbMATH Keywords: scattering amplitudes
zbMATH Keywords: Grassmannian geometry
MaRDI profile type: Publication
full work available at URL: cbo9781316091548
OpenAlex ID: W2258126206
title: Grassmannian geometry of scattering amplitudes
review text: The study of scattering amplitudes has been one of the elements in understanding quantum field theory due to Feynman, Dyson, and Schwinger.NEWLINENEWLINEThis book formulates a new way of studying scattering amplitude by relating its notion to the Grassmannian. The central idea in the formulation is that the amplitudes can be represented in terms of on-shell processes. The invariant content of an on-shell diagram can be described by a permutation that also turns out to characterize the submanifold in the Grassmannian associated with the on-shell graph.NEWLINENEWLINEThe book concludes with comments on further avenues of research for advanced students and researchers in the areas of field theory, high-energy physics, and the broader fields of mathematical physics.
reviewed by: Miyeon Kwon
description: scientific article; zbMATH DE number 6562468