Quantum Fields and Quantum Space Time

The 1996 NATO Advanced Study Institute (ASI) followed the international tradi­ tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory...

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Corporate Author: SpringerLink (Online service)
Other Authors: 't Hooft, Gerard (Editor), Jaffe, Arthur (Editor), Mack, Gerhard (Editor), Mitter, Pronob K. (Editor)
Format: eBook
Language:English
Published: New York, NY Springer US 1997, 1997
Edition:1st ed. 1997
Series:Nato Science Series B:, Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Quantum Fields and Quantum Space Time  |h Elektronische Ressource  |c edited by Gerard 't Hooft, Arthur Jaffe, Gerhard Mack, Pronob K. Mitter, Raymond Stora 
246 3 1 |a Proceedings of a NATO ASI held in Cargèse, France, July 22-August 3, 1996 
250 |a 1st ed. 1997 
260 |a New York, NY  |b Springer US  |c 1997, 1997 
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505 0 |a Lectures -- Non-commutative gauge fields from quantum groups -- Duality in N = 2 SUSY SU(2) Yang—Mills theory: a pedagogical introduction -- Noncommutative differential geometry and the structure of space time -- Quantum integrable models on 1 + 1 discrete space time -- Supersymmetry and non-commutative geometry -- Turbulence under a magnifying glass -- Quantization of space and time in 3 and in 4 space-time dimensions -- Pushing Einstein’s principles to the extreme -- Integrable classical and quantum gravity -- Quantum affine algebras and integrable quantum systems -- Exercises in equivariant cohomology -- Some complex quantum manifolds and their geometry -- Seminars -- T-duality and the moment map -- Symmetries of dimensionally reduced string effective action -- Non local observables and confinement in BF formulation of Yang-Mills theory -- Disorder operators, quantum doubles, and Haag duality in 1+ 1 dimensions -- The cohomology and homology of quantum field theory 
653 |a Mathematical physics 
653 |a Theoretical, Mathematical and Computational Physics 
700 1 |a Jaffe, Arthur  |e [editor] 
700 1 |a Mack, Gerhard  |e [editor] 
700 1 |a Mitter, Pronob K.  |e [editor] 
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520 |a The 1996 NATO Advanced Study Institute (ASI) followed the international tradi­ tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory and the structure of space time, including canonical gravity, black holes, string theory, application of noncommutative differential geometry, and quantum symmetries. In addition there had recently been important advances in quantum field theory which exploited the electromagnetic duality in certain supersymmetric gauge theories. The school reviewed these developments. Lectures were included to explain how the "monopole equations" of Seiberg and Witten can be exploited. They were presented by E. Rabinovici, and supplemented by an extra 2 hours of lectures by A. Bilal. Both the N = 1 and N = 2 supersymmetric Yang Mills theory and resulting equivalences between field theories with different gauge group were discussed in detail. There are several roads to quantum space time and a unification of quantum theory and gravity. There is increasing evidence that canonical gravity might be a consistent theory after all when treated in. a nonperturbative fashion. H. Nicolai presented a series of introductory lectures. He dealt in detail with an integrable model which is obtained by dimensional reduction in the presence of a symmetry