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Author : Nima Arkani-Hamed
Release : 2016-05-05
Genre : Mathematics
Kind : eBook
Book Rating : 582/5 ( reviews)
Book Synopsis Grassmannian Geometry of Scattering Amplitudes by : Nima Arkani-Hamed
Download or read book Grassmannian Geometry of Scattering Amplitudes written by Nima Arkani-Hamed. This book was released on 2016-05-05. Available in PDF, EPUB and Kindle. Book excerpt: An essential guide to peturbative quantum field theory and its connection to Grassmannian geometry.
Author :
Release : 2016
Genre : Combinatorial analysis
Kind : eBook
Book Rating : 548/5 ( reviews)
Book Synopsis Grassmannian Geometry of Scattering Amplitudes by :
Download or read book Grassmannian Geometry of Scattering Amplitudes written by . This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matteo Parisi
Release : 2023-12-11
Genre : Science
Kind : eBook
Book Rating : 696/5 ( reviews)
Book Synopsis Combinatorial Aspects of Scattering Amplitudes by : Matteo Parisi
Download or read book Combinatorial Aspects of Scattering Amplitudes written by Matteo Parisi. This book was released on 2023-12-11. Available in PDF, EPUB and Kindle. Book excerpt: This book is a significant contribution within and across High Energy Physics and Algebraic Combinatorics. It is at the forefront of the recent paradigm shift according to which physical observables emerge from geometry and combinatorics. It is the first book on the amplituhedron, which encodes the scattering amplitudes of N=4 Yang-Mills theory, a cousin of the theory of strong interactions of quarks and gluons. Amplituhedra are generalizations of polytopes inside the Grassmannian, and they build on the theory of total positivity and oriented matroids. This book unveils many new combinatorial structures of the amplituhedron and introduces a new important related object, the momentum amplituhedron. Moreover, the work pioneers the connection between amplituhedra, cluster algebras and tropical geometry. Combining extensive introductions with proofs and examples, it is a valuable resource for researchers investigating geometrical structures emerging from physics for some time to come.
Author : Henriette Elvang
Release : 2015-02-05
Genre : Science
Kind : eBook
Book Rating : 254/5 ( reviews)
Book Synopsis Scattering Amplitudes in Gauge Theory and Gravity by : Henriette Elvang
Download or read book Scattering Amplitudes in Gauge Theory and Gravity written by Henriette Elvang. This book was released on 2015-02-05. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity for graduate students.
Author : Henriette Elvang
Release : 2015-02-05
Genre : Science
Kind : eBook
Book Rating : 139/5 ( reviews)
Book Synopsis Scattering Amplitudes in Gauge Theory and Gravity by : Henriette Elvang
Download or read book Scattering Amplitudes in Gauge Theory and Gravity written by Henriette Elvang. This book was released on 2015-02-05. Available in PDF, EPUB and Kindle. Book excerpt: Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity, this book is ideal for graduate students and researchers. It offers a smooth transition from basic knowledge of quantum field theory to the frontier of modern research. Building on basic quantum field theory, the book starts with an introduction to the spinor helicity formalism in the context of Feynman rules for tree-level amplitudes. The material covered includes on-shell recursion relations, superamplitudes, symmetries of N=4 super Yang–Mills theory, twistors and momentum twistors, Grassmannians, and polytopes. The presentation also covers amplitudes in perturbative supergravity, 3D Chern–Simons matter theories, and color-kinematics duality and its connection to 'gravity=(gauge theory)x(gauge theory)'. Basic knowledge of Feynman rules in scalar field theory and quantum electrodynamics is assumed, but all other tools are introduced as needed. Worked examples demonstrate the techniques discussed, and over 150 exercises help readers absorb and master the material.
