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Noncommutative Spacetimes [electronic resource] : Symmetries in Noncommutative Geometry and Field Theory / by Paolo Aschieri, Marija Dimitrijevic, Petr Kulish, Fedele Lizzi, Julius Wess.

Author/Creator:
Aschieri, Paolo. author., Author,
Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Format/Description:
Book
1 online resource (XIV, 199 p. 10 illus.)
Edition:
1st ed. 2009.
Series:
Lecture Notes in Physics, 0075-8450 ; 774
Lecture Notes in Physics, 0075-8450 ; 774
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Subjects:
Physics.
Group theory.
Quantum physics.
Local subjects:
Mathematical Methods in Physics. (search)
Group Theory and Generalizations. (search)
Quantum Physics. (search)
Language:
English
Summary:
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.
Contents:
Deformed Field Theory: Physical Aspects
Differential Calculus and Gauge Transformations on a Deformed Space
Deformed Gauge Theories
Einstein Gravity on Deformed Spaces
Deformed Gauge Theory: Twist Versus Seiberg#x2013;Witten Approach
Another Example of Noncommutative Spaces: #x03BA;-Deformed Space
Noncommutative Geometries: Foundations and Applications
Noncommutative Spaces
Quantum Groups, Quantum Lie Algebras, and Twists
Noncommutative Symmetries and Gravity
Twist Deformations of Quantum Integrable Spin Chains
The Noncommutative Geometry of Julius Wess.
Notes:
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references and index.
Contributor:
Dimitrijevic, Marija. author., Author,
Kulish, Petr. author., Author,
Lizzi, Fedele. author., Author,
Wess, Julius. author., Author,
ISBN:
1-280-38481-6
9786613562739
3-540-89793-3
Publisher Number:
10.1007/978-3-540-89793-4 doi