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Titlebook: Quantum Fields and Quantum Space Time; Gerard ’t Hooft,Arthur Jaffe,Raymond Stora Book 1997 Springer Science+Business Media New York 1997

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发表于 2025-3-21 16:19:49 | 显示全部楼层 |阅读模式
书目名称Quantum Fields and Quantum Space Time
编辑Gerard ’t Hooft,Arthur Jaffe,Raymond Stora
视频video
丛书名称NATO Science Series B:
图书封面Titlebook: Quantum Fields and Quantum Space Time;  Gerard ’t Hooft,Arthur Jaffe,Raymond Stora Book 1997 Springer Science+Business Media New York 1997
描述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 consi
出版日期Book 1997
关键词algebra; differential geometry; field theory; fields; geometry; gravity; quantization; quantum field theory
版次1
doihttps://doi.org/10.1007/978-1-4899-1801-7
isbn_softcover978-1-4899-1803-1
isbn_ebook978-1-4899-1801-7Series ISSN 0258-1221
issn_series 0258-1221
copyrightSpringer Science+Business Media New York 1997
The information of publication is updating

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发表于 2025-3-21 23:47:32 | 显示全部楼层
The Cohomology and Homology of Quantum Field Theoryure, have stolen from the stage. Perhaps gauge theories should have a characteristic structure in non—commutative geometry. Renormalized perturbation theory, designed to deal with divergences, is unlikely to effect a passage from commutative to non—commutative geometry.
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Quantum Affine Algebras and Integrable Quantum Systemsalgebras over ℂ ‘depending’ on . If . = 1, one recovers the classical universal enveloping algebra of .. But one can also work ‘universally’, by regarding . as an indeterminate and ..(.) as a Hopf algebra over the field ℂ(.) of rational functions of . (or some larger field).
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Duality in , = 2 SUSY ,(2) Yang-Mills Theory: A Pedagogical Introductiontra matter. This presentation basically follows their original work, except in the last section where the low-energy effective action is obtained emphasizing more the relation between monodromies and differential equations rather than using elliptic curves.
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Quantization of Space and Time in 3 and in 4 Space-Time Dimensionsderived by combining certain features of General Relativity and Quantum Mechanics. This is demonstrated first in a model where particles behave as point defects in 2 space dimensions and 1 time, and then in the real world having 3+1 dimensions. The mechanisms in these two cases are quite different,
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