Geometry and quantum physics : proceedings of the 38. Internationale Universitätswochen fur̈ Kern- und Teilchenphysik, Scladming, Austria, January 9-16, 1999 / H. Gausterer, H. Grosse, L. Pittner (eds.).

By: (38th : Internationale Universitätswochen für Kern- und Teilchenphysik (38th : 1999 : Schladming, Austria)
Contributor(s): Gausterer, H | Grosse, Harald, 1944- | Pittner, Ludwig
Material type: TextTextSeries: Lecture notes in physics: 543.Publisher: Berlin ; New York : Springer, ©2000Description: 1 online resource (vi, 408 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540465522; 3540465529; 9783662142875; 3662142872; 9783662142868; 3662142864Subject(s): Quantum theory -- Congresses | Geometry -- Congresses | Mathematical physics -- Congresses | Geometry | Mathematical physics | Quantum theoryGenre/Form: Electronic books. | Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Geometry and quantum physics.DDC classification: 530.12 LOC classification: QC173.96Online resources: Click here to access online
Contents:
Notes on equivariant localization / Anton Alekseev -- An introduction to spin foam models of BF theory and quantum gravity / John C. Baez -- T-duality and the gravitational description of gauge theories / Cesar Gomez and Pedro Silva -- Noncommutative geometry and basic physics / Daniel Kastler -- An introduction to noncommutative geometry / John Madore -- Geometric properties of transport in quantum Hall systems / Thomas Richter and Ruedi Seiler -- q-deformed Heisenberg algebras / Julius Wess -- Abstracts of the seminars / given by participants of the school.
Summary: Annotation In modern mathematical physics, classical together with quantum, geometrical & functional analytic methods are used simultaneously. Non-commutative geometry in particular is becoming a useful tool in quantum field theories. This book, aimed at advanced students & researchers, provides an introduction to these ideas. Researchers will benefit particularly from the extensive survey articles on models relating to quantum gravity, string theory, & non-commutative geometry, as well as Connes' approach to the standard model.
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Notes on equivariant localization / Anton Alekseev -- An introduction to spin foam models of BF theory and quantum gravity / John C. Baez -- T-duality and the gravitational description of gauge theories / Cesar Gomez and Pedro Silva -- Noncommutative geometry and basic physics / Daniel Kastler -- An introduction to noncommutative geometry / John Madore -- Geometric properties of transport in quantum Hall systems / Thomas Richter and Ruedi Seiler -- q-deformed Heisenberg algebras / Julius Wess -- Abstracts of the seminars / given by participants of the school.

Annotation In modern mathematical physics, classical together with quantum, geometrical & functional analytic methods are used simultaneously. Non-commutative geometry in particular is becoming a useful tool in quantum field theories. This book, aimed at advanced students & researchers, provides an introduction to these ideas. Researchers will benefit particularly from the extensive survey articles on models relating to quantum gravity, string theory, & non-commutative geometry, as well as Connes' approach to the standard model.

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