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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.
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Statistical mechanics, Congresses, Field theory (Physics), Condensed matter, Algebraic Geometry, Differential Geometry, Statistical physics, Thermodynamics, Quantum theory, Physics, Geometry, algebraic, Global differential geometry, Quantum computing, Information and Physics Quantum ComputingShowing 1 featured edition. View all 1 editions?
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Constructive physics: results in field theory, statistical mechanics and condensed matter physics : proceedings of the conference held at Palaiseau, France 25-27 July 1994
1995, Springer-Verlag
in English
3540591907 9783540591900
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