001484071 000__ 03371cam\\2200565\i\4500
001484071 001__ 1484071
001484071 003__ OCoLC
001484071 005__ 20240117003312.0
001484071 006__ m\\\\\o\\d\\\\\\\\
001484071 007__ cr\cn\nnnunnun
001484071 008__ 231115s2023\\\\sz\a\\\\ob\\\\000\0\eng\d
001484071 019__ $$a1409202526
001484071 020__ $$a9783031410697$$q(electronic bk.)
001484071 020__ $$a3031410696$$q(electronic bk.)
001484071 020__ $$z9783031410680
001484071 020__ $$z3031410688
001484071 0247_ $$a10.1007/978-3-031-41069-7$$2doi
001484071 035__ $$aSP(OCoLC)1409418094
001484071 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCO
001484071 049__ $$aISEA
001484071 050_4 $$aQC174.45
001484071 08204 $$a530.14/3$$223/eng/20231115
001484071 1001_ $$aParisi, Matteo,$$eauthor.
001484071 24510 $$aCombinatorial aspects of scattering amplitudes :$$bamplituhedra, T-duality, and cluster algebras /$$cMatteo Parisi.
001484071 264_1 $$aCham :$$bSpringer,$$c[2023]
001484071 264_4 $$c©2023
001484071 300__ $$a1 online resource (xxiii, 219 pages) :$$billustrations (chiefly color).
001484071 336__ $$atext$$btxt$$2rdacontent
001484071 337__ $$acomputer$$bc$$2rdamedia
001484071 338__ $$aonline resource$$bcr$$2rdacarrier
001484071 4901_ $$aSpringer theses,$$x2190-5061
001484071 500__ $$a"Doctoral thesis accepted by University of Oxford, Oxford, UK."
001484071 504__ $$aIncludes bibliographical references.
001484071 5050_ $$a1. Introduction -- 2. The Amplituhedron -- 3. The Hypersimplex -- 4. T-duality: the Hypersimplex VS the Amplituhedron -- 5. Positroid Triangulations -- 6. The Momentum Amplituhedron -- 7. Cluster Algebras and Amplituhedra -- 8. Conclusions.
001484071 506__ $$aAccess limited to authorized users.
001484071 520__ $$aThis book is a significant contribution within and across High Energy Physics and Algebraic Combinatorics. It is at the forefront of the recent paradigm shift according to which physical observables emerge from geometry and combinatorics. It is the first book on the amplituhedron, which encodes the scattering amplitudes of N=4 Yang-Mills theory, a cousin of the theory of strong interactions of quarks and gluons. Amplituhedra are generalizations of polytopes inside the Grassmannian, and they build on the theory of total positivity and oriented matroids. This book unveils many new combinatorial structures of the amplituhedron and introduces a new important related object, the momentum amplituhedron. Moreover, the work pioneers the connection between amplituhedra, cluster algebras and tropical geometry. Combining extensive introductions with proofs and examples, it is a valuable resource for researchers investigating geometrical structures emerging from physics for some time to come.
001484071 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 15, 2023).
001484071 650_0 $$aQuantum field theory$$xMathematics.
001484071 650_6 $$aThéorie quantique des champs$$xMathématiques.
001484071 655_0 $$aElectronic books.
001484071 77608 $$iPrint version: $$z3031410688$$z9783031410680$$w(OCoLC)1389879423
001484071 830_0 $$aSpringer theses.$$x2190-5061
001484071 852__ $$bebk
001484071 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-41069-7$$zOnline Access$$91397441.1
001484071 909CO $$ooai:library.usi.edu:1484071$$pGLOBAL_SET
001484071 980__ $$aBIB
001484071 980__ $$aEBOOK
001484071 982__ $$aEbook
001484071 983__ $$aOnline
001484071 994__ $$a92$$bISE