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Titlebook: Constructive Physics; Results in Field The Vincent Rivasseau Conference proceedings 1995 Springer-Verlag Berlin Heidelberg 1995 Cluster Exp

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发表于 2025-3-21 19:16:18 | 显示全部楼层 |阅读模式
书目名称Constructive Physics
副标题Results in Field The
编辑Vincent Rivasseau
视频video
丛书名称Lecture Notes in Physics
图书封面Titlebook: Constructive Physics; Results in Field The Vincent Rivasseau Conference proceedings 1995 Springer-Verlag Berlin Heidelberg 1995 Cluster Exp
描述Addressing graduate students and researchers in physics and mathematics, this book fills a gap in the literature. It is an introduction into modern constructive physics, field theory and statistical mechanics and a survey on the most recent research in this field. It presents the main technical tools such as cluster expansion and their implementation in the rigorous renormalization group, and studies physical models in some detail. The reader will find a study of the ultraviolet limit of the Gross-Neveu model, of continuous symmetry breaking and of self-avoiding random walks in statistical mechanics, as well as applications to solid-state physics. Mathematicians will find constructive methods useful for studies in partial differential equations.
出版日期Conference proceedings 1995
关键词Cluster Expansions; Fermi Liquids; Field Theory; Quantenfeldtheorie; Renormalization group; Renormierungs
版次1
doihttps://doi.org/10.1007/3-540-59190-7
isbn_softcover978-3-662-14061-1
isbn_ebook978-3-540-49222-1Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 1995
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Supersymmetric quantum field theory,m then states, that starting from Euclidean Greens functions a Wightman quantum field theory with a representation of the full supersymmetry group and algebra, respectively, can be recovered. A possible ansatz for the construction of supersymmetric models using the Euclidean approach is outlined.
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Random and interacting surfaces,techniques may be associated respectively to the Pirogov-Sinai theory or to perturbations of a massless gaussian field. The unifying feature is the occurrence of scaled expansions, which may allow to control the neighborhood of a phase transition. Some open problems are presented and discussed.
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Ultrasound Diagnostics of Thyroid Diseasesdefinition of products and recursive functions replaces cluster expansion techniques. Norms of these products and recursive functions are basic tools and simplify a RG analysis for field theories. The methods will be discussed at examples of the ..-model, the .-model and hierarchical scalar field theory (infrared fixed points).
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On renormalization group flows and polymer algebras,definition of products and recursive functions replaces cluster expansion techniques. Norms of these products and recursive functions are basic tools and simplify a RG analysis for field theories. The methods will be discussed at examples of the ..-model, the .-model and hierarchical scalar field theory (infrared fixed points).
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