Constructive physics : results in field theory, statistical mechanics and condensed matter physics : proceedings of the conference held at Palaiseau, France 25-27 July 1994 / Vincent Rivasseau (ed.).

Contributor(s): Rivasseau, Vincent, 1955-
Material type: TextTextSeries: Lecture notes in physics: 446.Publisher: Berlin ; New York : Springer-Verlag, ©1995Description: 1 online resource (x, 337 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540492221; 3540492224Subject(s): Field theory (Physics) -- Congresses | Statistical mechanics -- Congresses | Condensed matter -- Congresses | Condensed matter | Field theory (Physics) | Statistical mechanicsGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Constructive physics.DDC classification: 530.1/4 LOC classification: QC173.68 | .C66 1995Online resources: Click here to access online Summary: 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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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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