Geometry and Quantum Physics: Proceedings of the 38. Internationale Universitatswochen Fur Kern- Und Teilchenphysik, Schladming, Austria, January ... Schladming, Austria, January 9-16, 1999: 543 - Rilegato

Internationale Universitatswochen Fur Kern- Und Teilchenphysik 1999 S; Gausterer, H.; Grosse, Harald; Pittner, Ludwig

Rilegato

ISBN 10: 3540671129 ISBN 13: 9783540671121

Casa editrice: Springer Verlag, 2000

Riassunto

In modern mathematical physics, classical together with quantum, geometrical and 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 and researchers, provides an introduction to these ideas. Researchers will benefit particularly from the extensive survey articles on models relating to quantum gravity, string theory, and non-commutative geometry, as well as Connes' approach to the standard model.

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Contenuti

Notes on Equivariant Localization.- An Introduction to Spin Foam Models of BF Theory and Quantum Gravity.- T-Duality and the Gravitational Description of Gauge Theories.- Noncommutative Geometry and Basic Physics.- An Introduction to Noncommutative Geometry.- Geometric Properties of Transport in Quantum Hall Systems.- q-Deformed Heisenberg Algebras.- Quantum Gravity with Matter Fields in Two Dimensions.- A Quantum Minkowski Space-Time.- Supersymmetry and Nonperturbative Aspects in Quantum Cosmology.- Noncommutative Supergeometry of Graded Matrix Algebras.- Duals for Nonabelian Lattice Gauge Theories.- Absolute Conservation Law for Black Holes.- Double Numbers and Two Dimensional Anomaly Free Field Models.- A Global Path Integral for Yang-Mills Theory.- Anyonic Solutions to the Thirring Model.- Twisting of Quantum Differentials.- Wigner Solid and Laughlin Liquid of Bose Condensed Charge-Vortex Composites.- The Modular Closure of Braided Tensor Categories.- Clifford Algebra as a Useful Language for Geometry and Physics.- Fields on Noncommutative Manifolds.- Geometry of 2-Fold Degenerated 2-Level System.- On q-Deformations and Dunkl-Deformations of Harmonic Oscillators.- Quantum Field Theory in Non-globally Hyperbolic Space-Times.- Steps Beyond the Standard Model in Noncommutative Geometry.- Vacuum Polarization Effects in the Background of Nontrivial Topology.- F-Theory and Toric Geometry.- Actions for Duality-Symmetric Fields.- Unitary Representations of the Quantum Anti-de Sitter Group at Roots of Unity and Elementary Particles.- The Limits of D-Brane Action.

Dettagli dell'edizione

• Editore: Springer Verlag
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 3540671129
• ISBN 13: 9783540671121
• Rilegatura: Copertina rigida
• Numero di pagine: 408
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania