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Noncommutative Geometry and the Standard Model of Elementary Particle Physics (Paperback, Softcover reprint of the original 1st ed. 2002)
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Noncommutative Geometry and the Standard Model of Elementary Particle Physics (Paperback, Softcover reprint of the original 1st ed. 2002)
Series: Lecture Notes in Physics, 596
Expected to ship within 10 - 15 working days
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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.
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