04666nam 22007815 450 99646669680331620200701133005.03-540-49222-410.1007/3-540-59190-7(CKB)1000000000234259(SSID)ssj0000322288(PQKBManifestationID)12131457(PQKBTitleCode)TC0000322288(PQKBWorkID)10282850(PQKB)11368524(DE-He213)978-3-540-49222-1(PPN)155205579(EXLCZ)99100000000023425920121227d1995 u| 0engurnn|008mamaatxtccrConstructive Physics[electronic resource] Results in Field Theory, Statistical Mechanics and Condensed Matter Physics /edited by Vincent Rivasseau1st ed. 1995.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1995.1 online resource (X, 342 p. 5 illus.) Lecture Notes in Physics,0075-8450 ;446Bibliographic Level Mode of Issuance: Monograph3-540-59190-7 Some questions for constructive field theorists -- Trees, forests and jungles: A botanical garden for cluster expansions -- Weak perturbations of the massless Gaussian measure -- On renormalization group flows and polymer algebras -- Renormalizing partial differential equations -- Supersymmetric quantum field theory -- Equivalence of the Euclidean and Wightman field theories -- Construction of the gross-neveu model in dimension 3 -- Mass generation in a one-dimensional fermi model -- Mass generation in the large N Gross-Neveu model -- U(1) gauge theory on a torus -- A low temperature expansion and “spin wave picture” for classical N-vector models -- Renormalization group approach to zero temperature bose condensation -- Random and interacting surfaces -- Fermi liquids in two-space dimensions -- The self-avoiding walk in four dimensions -- Charge correlations for the two-dimensional Coulomb gas -- Weakly self-avoiding polymers in four dimensions.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.Lecture Notes in Physics,0075-8450 ;446Quantum physicsQuantum computersSpintronicsThermodynamicsStatistical physicsDynamical systemsDifferential geometryAlgebraic geometryQuantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Quantum Information Technology, Spintronicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31070Thermodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21050Complex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Algebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Quantum physics.Quantum computers.Spintronics.Thermodynamics.Statistical physics.Dynamical systems.Differential geometry.Algebraic geometry.Quantum Physics.Quantum Information Technology, Spintronics.Thermodynamics.Complex Systems.Differential Geometry.Algebraic Geometry.530.1/4Rivasseau Vincentedthttp://id.loc.gov/vocabulary/relators/edtBOOK996466696803316Constructive physics1487757UNISA