Quantum field theory and noncommutative geometry / U. Carow-Watamura, Y. Maeda, S. Watamura (eds.).

Contributor(s): Carow-Watamura, Ursula | Maeda, Yoshiaki, 1948- | Watamura, Satoshi | Tōhoku Daigaku
Material type: TextTextSeries: Lecture notes in physics: 662.Publisher: Berlin ; New York : Springer, ©2005Description: 1 online resource (x, 297 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540315261; 3540315268Subject(s): Quantum field theory -- Congresses | Noncommutative differential geometry -- Congresses | Champs, Théorie quantique des -- Congrès | Géométrie différentielle non commutative -- Congrès | Physique | Noncommutative differential geometry | Quantum field theory | Niet-commutatieve structuren | KwantumveldentheorieGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Quantum field theory and noncommutative geometry.DDC classification: 530.143 LOC classification: QC174.45.A1 | Q365 2005ebOther classification: 33.52 | 33.06 Online resources: Click here to access online
Contents:
Noncommunicative spheres and instantons / G. Landi -- Some noncommunicative spheres / T. Natsume -- From quantum tori to quantum homogenous spaces / S. Kamimura -- Local models for manifolds with symplectic connections of Ricci type / M. Cohen -- On gauge transformations of Poisson structures / H. Bursztyn -- Classification of all quadratic star products on a plane / N. Miyazaki -- Universal deformation formulae for three-dimensional solvable Lie groups / P. Bieliavsky, P. Bonneau, Y. Maeda -- Morita equivalence, Picard groupoids and noncommunicative field theories / S. Waldmann -- Secondary characteristic classes of Lie algebroids / M. Crainic, R.L. Fernandes -- Gauge theories on noncommunicative spacetime treated by the Sieberg-Witten method / J. Wess -- Noncommunicative line bundles and gerbes / B. Jurčo -- Lectures on two-dimensional noncommunicative gauge theory / L.D. Paniak, R.J. Szabo -- Topological quantum field theories and operator algebras / Y. Kawahigashi -- Topological quantum field theory and algebraic structures / T. Kimura -- An infinite family of isospectral pairs / N. Iioyori [and others].
Review: "This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of deformation quantization and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space."--Jacket.
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Includes bibliographical references.

"This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of deformation quantization and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space."--Jacket.

Noncommunicative spheres and instantons / G. Landi -- Some noncommunicative spheres / T. Natsume -- From quantum tori to quantum homogenous spaces / S. Kamimura -- Local models for manifolds with symplectic connections of Ricci type / M. Cohen -- On gauge transformations of Poisson structures / H. Bursztyn -- Classification of all quadratic star products on a plane / N. Miyazaki -- Universal deformation formulae for three-dimensional solvable Lie groups / P. Bieliavsky, P. Bonneau, Y. Maeda -- Morita equivalence, Picard groupoids and noncommunicative field theories / S. Waldmann -- Secondary characteristic classes of Lie algebroids / M. Crainic, R.L. Fernandes -- Gauge theories on noncommunicative spacetime treated by the Sieberg-Witten method / J. Wess -- Noncommunicative line bundles and gerbes / B. Jurčo -- Lectures on two-dimensional noncommunicative gauge theory / L.D. Paniak, R.J. Szabo -- Topological quantum field theories and operator algebras / Y. Kawahigashi -- Topological quantum field theory and algebraic structures / T. Kimura -- An infinite family of isospectral pairs / N. Iioyori [and others].

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