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Titlebook: Combinatorial Aspects of Scattering Amplitudes; Amplituhedra, T-dual Matteo Parisi Book 2023 The Editor(s) (if applicable) and The Author(s

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书目名称Combinatorial Aspects of Scattering Amplitudes
副标题Amplituhedra, T-dual
编辑Matteo Parisi
视频videohttp://file.papertrans.cn/230/229893/229893.mp4
概述Connects Amplituhedra with the ever-expanding fields of cluster algebras and tropical geometry.Addresses both algebraic combinatorists and high energy physicists.Combines extensive introductions on bo
丛书名称Springer Theses
图书封面Titlebook: Combinatorial Aspects of Scattering Amplitudes; Amplituhedra, T-dual Matteo Parisi Book 2023 The Editor(s) (if applicable) and The Author(s
描述.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..
出版日期Book 2023
关键词Amplituhedron; On-shell Methods; Landau Singularities; Positive Tropical Grassmannian; Matroids and Posi
版次1
doihttps://doi.org/10.1007/978-3-031-41069-7
isbn_softcover978-3-031-41071-0
isbn_ebook978-3-031-41069-7Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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The Amplituhedron,mage of the positive Grassmannian . under a totally positive linear map. Regarded as a non-linear generalization of (cyclic) polytopes inside the Grassmannian, it is a semialgebraic set with beautiful and rich combinatorics. The . amplituhedron . encodes tree-level amplitudes in . SYM. The . amplitu
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T-Duality: The Hypersimplex Versus the Amplituhedron,ch is the moment map image of the positive Grassmannian . and has nice combinatorics in connection with matroid theory and tropical geometry. The second is the . . .—a 2.-dimensional semialgebraic set in . which is the image of the positive Grassmannian . under a linear map induced by a totally posi
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