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E-book

Title Quantum field theory and noncommutative geometry / U. Carow-Watamura, Y. Maeda, S. Watamura (eds.)
Published Berlin ; New York : Springer, ©2005

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Description 1 online resource (x, 297 pages) : illustrations
Series Lecture notes in physics, 0075-8450 ; 662
Lecture notes in physics ; 662.
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]
Summary "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
Bibliography Includes bibliographical references
Notes Print version record
In Springer eBooks
Subject Quantum field theory -- Congresses
Noncommutative differential geometry -- Congresses
Quantum theory.
Quantum Theory
Physique.
Noncommutative differential geometry
Quantum field theory
Niet-commutatieve structuren.
Kwantumveldentheorie.
Genre/Form proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Carow-Watamura, Ursula.
Maeda, Yoshiaki, 1948-
Watamura, Satoshi.
Tōhoku Daigaku
ISBN 9783540315261
3540315268
9783642062872
3642062873
9783540805236
3540805230