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Titlebook: Rigorous Quantum Field Theory; A Festschrift for Ja Anne Boutet Monvel,Detlef Buchholz,Ugo Moschella Book 2007 Birkhäuser Basel 2007 Minkow

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书目名称Rigorous Quantum Field Theory
副标题A Festschrift for Ja
编辑Anne Boutet Monvel,Detlef Buchholz,Ugo Moschella
视频video
概述Arose from an international symposium which was organized in honour of Jacques Bros on the occasion of his 70th birthday at the Department of Theoretical Physics of the CEA in Saclay, France.Covers im
丛书名称Progress in Mathematics
图书封面Titlebook: Rigorous Quantum Field Theory; A Festschrift for Ja Anne Boutet Monvel,Detlef Buchholz,Ugo Moschella Book 2007 Birkhäuser Basel 2007 Minkow
描述.Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous fundamental contributions. The impact of his work is also visible in several articles in this book. Quantum fields are considered as genuine mathematical objects, whose various properties and relevant physical interpretations have to be studied in a well-defined mathematical framework. ..Key topics: Analytic structures of QFT, renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime..
出版日期Book 2007
关键词Minkowski space; Quantum field theory; Renormalization; Renormalization group; Space-time; Yang-Mills alg
版次1
doihttps://doi.org/10.1007/978-3-7643-7434-1
isbn_ebook978-3-7643-7434-1Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightBirkhäuser Basel 2007
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Quantum Energy Inequalities and Stability Conditions in Quantum Field Theory,r stability conditions in quantum field theory: the microlocal spectrum condition, passivity and nuclearity. The fist two links suggest an interconnection between stability conditions at three different length scales, while the third hints at a deeper origin of QEIs.
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,Action Ward Identity and the Stückelberg-Petermann Renormalization Group,ry can be given in terms of retarded products. The dependence on the Lagrangian enters this construction only through the classical action. This amounts to the commutativity of retarded products with derivatives, a property named Action Ward Identity by Stora.
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Towards the Construction of Quantum Field Theories from a Factorizing S-Matrix, fields are introduced by means of Zamolodchikov’s algebra. The second step consists in proving the existence of local observables in these models. As a new result, an intermediate step in the existence problem is taken by proving the modular compactness condition for wedge algebras.
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Quantum Anosov Systems,ather naturally in a type .. algebra. Here Anosov structure and Kolmogorov structure with respect to modular evolution are even equivalent. The Rindler wedge of quantum field theory offers a typical example.
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Book 2007nd relevant physical interpretations have to be studied in a well-defined mathematical framework. ..Key topics: Analytic structures of QFT, renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime..
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Local Counterterms on the Noncommutative Minkowski Space,t is shown that ordinary Wick products on the noncommutative Minkowski space indeed involve nonlocal counterterms. A discussion of Wightman functions on the noncommutative Minkowski space is included and a cluster decomposition property (i.e. causality at large distances) is proved.
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