Combinatorial Aspects of Scattering Amplitudes
Produktnummer:
18a56dc468053b42d2adb9f84b426140d3
| Autor: | Parisi, Matteo |
|---|---|
| Themengebiete: | Amplituhedron Landau Singularities Matroids and Positroids Moment Map On-shell Methods Positive Geometry Positive Tropical Grassmannian Scattering Amplitudes T-duality Triangulations |
| Veröffentlichungsdatum: | 13.12.2024 |
| EAN: | 9783031410710 |
| Sprache: | Englisch |
| Seitenzahl: | 219 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
| Untertitel: | Amplituhedra, T-duality, and Cluster Algebras |
Produktinformationen "Combinatorial Aspects of Scattering Amplitudes"
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.
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