Quantum field theory and noncommutative geometry /

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Bibliographic Details
Imprint:	Berlin ; New York : Springer, ©2005.
Description:	1 online resource (x, 297 pages) : illustrations.
Language:	English
Series:	Lecture notes in physics, 0075-8450 ; 662 Lecture notes in physics ; 662.
Subject:	Quantum field theory -- Congresses. Noncommutative differential geometry -- Congresses. Noncommutative differential geometry. Quantum field theory. Conference papers and proceedings.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11068181

Hidden Bibliographic Details
Other authors / contributors:	Carow-Watamura, Ursula. Maeda, Yoshiaki, 1948- Watamura, Satoshi. Tōhoku Daigaku.
ISBN:	9783540315261 3540315268 9783540239000 3540239006
Notes:	Includes bibliographical references. Print version record.
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.
Other form:	Print version: Quantum field theory and noncommutative geometry. Berlin ; New York : Springer, ©2005 3540239006
Standard no.:	10.1007/b102320

Table of 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].

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