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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Bibliographic Details

Main Author:	Arkani-Hamed, Nima (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 2016
Subjects:	Quantum field theory Particles (Nuclear physics) Graph theory Combinatorial analysis Geometry, Algebraic Yang-Mills-Theorie Streuamplitude Graßmann-Mannigfaltigkeit Quantenfeldtheorie
Online Access:	BSB01 FHN01 Volltext
Summary:	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
Item Description:	Title from publisher's bibliographic system (viewed on 05 May 2016)
Physical Description:	1 online resource (ix, 194 pages)
ISBN:	9781316091548
DOI:	10.1017/CBO9781316091548