This book provides an accessible and up-to-date introduction to how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. Beginning with a summary of key ideas from perturbative quantum field theory and an introduction to the Hopf algebra structure of renormali...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Kreimer, Dirk 1960- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 2000
Schriftenreihe:	Cambridge lecture notes in physics 13
Schlagworte:	Quantum field theory Knot theory Feynman diagrams Knotentheorie Quantenfeldtheorie Hopf-Algebra Feynman-Graph
Online-Zugang:	BSB01 FHN01 URL des Erstveröffentlichers
Zusammenfassung:	This book provides an accessible and up-to-date introduction to how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. Beginning with a summary of key ideas from perturbative quantum field theory and an introduction to the Hopf algebra structure of renormalization, early chapters discuss the rationality of ladder diagrams and simple link diagrams. The necessary basics of knot theory are then presented and the number-theoretic relationship between the topology of Feynman diagrams and knot theory is explored. Later chapters discuss four-term relations motivated by the discovery of Vassiliev invariants in knot theory and draw a link to algebraic structures recently observed in noncommutative geometry. Detailed references are included. Dealing with material at perhaps the most productive interface between mathematics and physics, the book will be of interest to theoretical and particle physicists, and mathematicians
Beschreibung:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Beschreibung:	1 online resource (xii, 259 pages)
ISBN:	9780511564024
DOI:	10.1017/CBO9780511564024