Noncommutative Spacetimes

Symmetries in Noncommutative Geometry and Field Theory
Buch | Hardcover
XIV, 199 Seiten
2009 | 2009
Springer Berlin (Verlag)
978-3-540-89792-7 (ISBN)
64,15 inkl. MwSt
There are many approaches to noncommutative geometry and to its use in physics. This volume combines the deformation quantization approach, based on the notion of star-product, and the deformed quantum symmetries methods, based on the theory of quantum groups.

There are many approaches to noncommutative geometry and to its use in physics. This volume addresses the subject by combining the deformation quantization approach, based on the notion of star-product, and the deformed quantum symmetries methods, based on the theory of quantum groups.
The aim of this work is to give an introduction to this topic and to prepare the reader to enter the research field quickly. The order of the chapters is "physics first": the mathematics follows from the physical motivations (e.g. gauge field theories) in order to strengthen the physical intuition. The new mathematical tools, in turn, are used to explore further physical insights. A last chapter has been added to briefly trace Julius Wess' (1934-2007) seminal work in the field.

Differential Calculus and Gauge Transformations on a Deformed Space.- Deformed Gauge Theories.- Einstein Gravity on Deformed Spaces.- Deformed Gauge Theory: Twist Versus Seiberg-Witten Approach.- Another Example of Noncommutative Spaces: K-Deformed Space.- Noncommutative Spaces.- Quantum Groups, Quantum Lie Algebras and Twists.- Noncommutative Symmetries and Gravity.- Twist Deformation of Quantum Integrable Spin Chains.- Julius Wess Noncommutative Geometry.- Index.

Erscheint lt. Verlag 14.7.2009
Reihe/Serie Lecture Notes in Physics
Zusatzinfo XIV, 199 p. 10 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 491 g
Themenwelt Mathematik / Informatik Mathematik
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte deformed gauge theories • Gauge Theory • Gravity • Julius Wess • noncommuative spacetime • quantum groups
ISBN-10 3-540-89792-5 / 3540897925
ISBN-13 978-3-540-89792-7 / 9783540897927
Zustand Neuware
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