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Titlebook: Geometric and Topological Methods for Quantum Field Theory; Hernán Ocampo,Sylvie Paycha,Andrés Vargas Book 2005 Springer-Verlag Berlin Hei

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書目名稱Geometric and Topological Methods for Quantum Field Theory
編輯Hernán Ocampo,Sylvie Paycha,Andrés Vargas
視頻videohttp://file.papertrans.cn/384/383644/383644.mp4
叢書名稱Lecture Notes in Physics
圖書封面Titlebook: Geometric and Topological Methods for Quantum Field Theory;  Hernán Ocampo,Sylvie Paycha,Andrés Vargas Book 2005 Springer-Verlag Berlin Hei
描述.This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced
出版日期Book 2005
關(guān)鍵詞euclidean quantum field theory; manifold; noncommutative geometry; quantum field theory; string compacti
版次1
doihttps://doi.org/10.1007/b104936
isbn_softcover978-3-642-06351-0
isbn_ebook978-3-540-31522-3Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2005
The information of publication is updating

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978-3-642-06351-0Springer-Verlag Berlin Heidelberg 2005
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地板
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5#
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Economic Policy for the European Communitypace. This invariant is often called the perturbative series expansion of the Chern-Simons theory of links in the euclidean space. It will be constructed as a series of integrals over configuration spaces.
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Economic Policy for the European Communitypace. This invariant is often called the perturbative series expansion of the Chern-Simons theory of links in the euclidean space. It will be constructed as a series of integrals over configuration spaces.
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Public Expenditure and Taxation,I give an introduction to Euclidean quantum field theory from the point of view of statistical physics, with emphasis both on Feynman graphs and on the Wilson-Polchinski approach to renormalisation. In the second part I discuss attempts to renormalise quantum field theories on noncommutative spaces.
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https://doi.org/10.1007/978-94-015-0617-5We present an elementary introduction to compactifications with unbroken supersymmetry. After explaining how this requirement leads to internal spaces of special holonomy we describe Calabi-Yau manifolds in detail. We also discuss orbifolds as examples of solvable string compactifications.
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發(fā)表于 2025-3-23 06:53:14 | 只看該作者
Hans Genberg,Ulrich Kohli,Georg RichThese lecture notes are mainly devoted to a .-theory proof of the Atiyah-Singer index theorem. Some applications of the .-theory to noncommutative topology are also given.
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