Combinatorial Aspects of Scattering Amplitudes [[electronic resource] ] : Amplituhedra, T-duality, and Cluster Algebras / / by Matteo Parisi
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| Autore: |
Parisi Matteo
|
| Titolo: |
Combinatorial Aspects of Scattering Amplitudes [[electronic resource] ] : Amplituhedra, T-duality, and Cluster Algebras / / by Matteo Parisi
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
| Edizione: | 1st ed. 2023. |
| Descrizione fisica: | 1 online resource (237 pages) |
| Disciplina: | 530.143 |
| Soggetto topico: | Elementary particles (Physics) |
| Quantum field theory | |
| Algebraic geometry | |
| Mathematics | |
| Elementary Particles, Quantum Field Theory | |
| Algebraic Geometry | |
| Applications of Mathematics | |
| Nota di contenuto: | 1. Introduction -- 2. The Amplituhedron -- 3. The Hypersimplex -- 4. T-duality: the Hypersimplex VS the Amplituhedron -- 5. Positroid Triangulations -- 6. The Momentum Amplituhedron -- 7. Cluster Algebras and Amplituhedra -- 8. Conclusions. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Combinatorial Aspects of Scattering Amplitudes |
| ISBN: | 3-031-41069-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910760276103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Springer Theses, Recognizing Outstanding Ph.D. Research, . 2190-5061