1.

Record Nr.

UNISA996466720103316

Autore

Aschieri Paolo

Titolo

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

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009

ISBN

1-280-38481-6

9786613562739

3-540-89793-3

Edizione

[1st ed. 2009.]

Descrizione fisica

1 online resource (XIV, 199 p. 10 illus.)

Collana

Lecture Notes in Physics, , 0075-8450 ; ; 774

Disciplina

530.15636

Soggetti

Physics

Group theory

Quantum physics

Mathematical Methods in Physics

Group Theory and Generalizations

Quantum Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.