| Noncommutative Geometry and the Standard Model of Elementary Particle Physics 2002 Edition Contributor(s): Scheck, Florian (Editor), Werner, Wend (Editor), Upmeier, Harald (Editor) |
|
 |
ISBN: 3540440712 ISBN-13: 9783540440710 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: November 2002 Annotation: The outcome of a close collaboration between mathematicians and mathematical physicists, these Lecture Notes present the foundations of A. Connes noncommutative geometry, as well as its applications in particular to the field of theoretical particle physics. The coherent and systematic approach makes this book useful for experienced researchers and postgraduate students alike. |
| Additional Information |
| BISAC Categories: - Science | Physics - Nuclear - Science | Physics - Mathematical & Computational - Mathematics | Algebra - General |
| Dewey: 512 |
| LCCN: 2002034511 |
| Series: Lecture Notes in Physics |
| Physical Information: 0.98" H x 6.44" W x 9.42" (1.51 lbs) 350 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Aconferenceon"NoncommutativeGeometryandtheStandardModelof- ementaryParticlePhysics"washeldattheHesselbergAcademy(innorthern Bavaria, Germany) during the week of March 14-19, 1999. The aim of the conference was to give a systematic exposition of the mathematical foun- tions and physical applications of noncommutative geometry, along the lines developedbyAlainConnes. Theconferencewasactuallypartofacontinuing series of conferences at the Hesselberg Academy held every three years and devoted to important developments in mathematical ?elds, such as geom- ricanalysis, operatoralgebras, indextheory, andrelatedtopicstogetherwith their applications to mathematical physics. The participants of the conference included mathematicians from fu- tional analysis, di?erential geometry and operator algebras, as well as - perts from mathematical physics interested in A. Connes' approach towards the standard model and other physical applications. Thus a large range of topics, from mathematical foundations to recent physical applications, could becoveredinasubstantialway. Theproceedingsofthisconference, organized in a coherent and systematic way, are presented here. Its three chapters c- respond to the main areas discussed during the conference: Chapter1. Foundations of Noncommutative Geometry and Basic Model Building Chapter2. The Lagrangian of the Standard Model Derived from Nonc- mutative Geometry Chapter3. New Directions in Noncommutative Geometry and Mathema- cal Physics During the conference the close interaction between mathematicians and mathematical physicists turned out to be quite fruitful and enlightening for both sides. Similarly, it is hoped that the proceedings presented here will be useful for mathematicians interested in basic physical questions and for physicists aiming at a more conceptual understanding of classical and qu- tum ?eld theory from a novel mathematical point of view. |