A Combinatorial Perspective on Quantum Field Theory / / by Karen Yeats
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| Autore: |
Yeats Karen
|
| Titolo: |
A Combinatorial Perspective on Quantum Field Theory / / by Karen Yeats
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Edizione: | 1st ed. 2017. |
| Descrizione fisica: | 1 online resource (IX, 120 p. 16 illus.) |
| Disciplina: | 530.14 |
| Soggetto topico: | Quantum field theory |
| String theory | |
| Mathematical physics | |
| Discrete mathematics | |
| Quantum Field Theories, String Theory | |
| Mathematical Physics | |
| Discrete Mathematics | |
| Nota di bibliografia: | Includes bibliographical references at the end of each chapters and index. |
| Nota di contenuto: | Part I Preliminaries -- Introduction -- Quantum field theory set up -- Combinatorial classes and rooted trees -- The Connes-Kreimer Hopf algebra -- Feynman graphs -- Part II Dyson-Schwinger equations -- Introduction to Dyson-Schwinger equations -- Sub-Hopf algebras from Dyson-Schwinger equations -- Tree factorial and leading log toys -- Chord diagram expansions -- Differential equations and the (next-to)m leading log expansion -- Part III Feynman periods -- Feynman integrals and Feynman periods -- Period preserving graph symmetries -- An invariant with these symmetries -- Weight -- The c2 invariant -- Combinatorial aspects of some integration algorithms -- Index. |
| Sommario/riassunto: | This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field theory. Among the outcomes are both physical insights and interesting mathematics. The book begins by thinking of perturbative expansions as kinds of generating functions and then introduces renormalization Hopf algebras. The remainder is broken into two parts. The first part looks at Dyson-Schwinger equations, stepping gradually from the purely combinatorial to the more physical. The second part looks at Feynman graphs and their periods. The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians. |
| Titolo autorizzato: | A Combinatorial Perspective on Quantum Field Theory |
| ISBN: | 9783319475516 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910155298403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
SpringerBriefs in Mathematical Physics, . 2197-1757 ; ; 15