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Grassmannian geometry of scattering amplitudes

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 connecti...

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Detalles Bibliográficos
Autores principales: Arkani-Hamed, Nima, Bourjaily, Jacob, Cachazo, Freddy, Goncharov, Alexander, Postnikov, Alexander, Trnka, Jaroslav
Lenguaje:eng
Publicado: Cambridge University Press 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1017/CBO9781316091548
http://cds.cern.ch/record/2126964
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author Arkani-Hamed, Nima
Bourjaily, Jacob
Cachazo, Freddy
Goncharov, Alexander
Postnikov, Alexander
Trnka, Jaroslav
author_facet Arkani-Hamed, Nima
Bourjaily, Jacob
Cachazo, Freddy
Goncharov, Alexander
Postnikov, Alexander
Trnka, Jaroslav
author_sort Arkani-Hamed, Nima
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-21269642021-04-21T19:49:30Zdoi:10.1017/CBO9781316091548http://cds.cern.ch/record/2126964engArkani-Hamed, NimaBourjaily, JacobCachazo, FreddyGoncharov, AlexanderPostnikov, AlexanderTrnka, JaroslavGrassmannian geometry of scattering amplitudesParticle Physics - TheoryOutlining 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.Cambridge University Pressoai:cds.cern.ch:21269642016
spellingShingle Particle Physics - Theory
Arkani-Hamed, Nima
Bourjaily, Jacob
Cachazo, Freddy
Goncharov, Alexander
Postnikov, Alexander
Trnka, Jaroslav
Grassmannian geometry of scattering amplitudes
title Grassmannian geometry of scattering amplitudes
title_full Grassmannian geometry of scattering amplitudes
title_fullStr Grassmannian geometry of scattering amplitudes
title_full_unstemmed Grassmannian geometry of scattering amplitudes
title_short Grassmannian geometry of scattering amplitudes
title_sort grassmannian geometry of scattering amplitudes
topic Particle Physics - Theory
url https://dx.doi.org/10.1017/CBO9781316091548
http://cds.cern.ch/record/2126964
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