+612 9045 4394
Quantum Fields and Quantum Space Time : NATO Asi Series - Gerard t'Hooft

Quantum Fields and Quantum Space Time

NATO Asi Series

By: Arthur Jaffe, Gerard t'Hooft (Editor), Gerhard Mack (Editor), Pronob K. Mitter (Editor), R. Stora (Editor)

Hardcover Published: 31st October 1997
ISBN: 9780306456978
Number Of Pages: 374

Share This Book:


RRP $823.99
or 4 easy payments of $142.69 with Learn more
Ships in 7 to 10 business days

Other Available Editions (Hide)

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.

Non-commutative gauge fields from quantum groupsp. 1
Duality in N = 2 SUSY SU(2) Yang-Mills theory: a pedagogical introductionp. 21
Noncommutative differential geometry and the structure of space timep. 45
Quantum integrable models on 1 + 1 discrete space timep. 73
Supersymmetry and non-commutative geometryp. 93
Turbulence under a magnifying glassp. 123
Quantization of space and time in 3 and in 4 space-time dimensionsp. 151
Pushing Einstein's principles to the extremep. 165
Integrable classical and quantum gravityp. 203
Quantum affine algebras and integrable quantum systemsp. 245
Exercises in equivariant cohomologyp. 265
Some complex quantum manifolds and their geometryp. 281
T-duality and the moment mapp. 323
Symmetries of dimensionally reduced string effective actionp. 331
Non local observables and confinement in BF formulation of Yang-Mills theoryp. 339
Disorder operators, quantum doubles, and Haag duality in 1 + 1 dimensionsp. 349
The cohomology and homology of quantum field theoryp. 357
Indexp. 369
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306456978
ISBN-10: 0306456974
Series: NATO Asi Series
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 374
Published: 31st October 1997
Country of Publication: US
Dimensions (cm): 25.4 x 17.78  x 2.24
Weight (kg): 0.89