Combinatorial aspects of scattering amplitudes : amplituhedra, T-duality, and cluster algebras / Matteo Parisi.

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Combinatorial aspects of scattering amplitudes : amplituhedra, T-duality, and cluster algebras / Matteo Parisi.

9783031410697 (electronic bk.)
3031410696 (electronic bk.)
9783031410680
3031410688

Cham : Springer, [2023]

©2023

English

1 online resource (xxiii, 219 pages) : illustrations (chiefly color).

10.1007/978-3-031-41069-7 doi

QC174.45

530.14/3

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.

"Doctoral thesis accepted by University of Oxford, Oxford, UK."

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed November 15, 2023).

Springer theses.

Print version: 9783031410680

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