LEADER 04668nam 22007815 450 001 9910257402303321 005 20200701133005.0 010 $a3-540-49222-4 024 7 $a10.1007/3-540-59190-7 035 $a(CKB)1000000000234259 035 $a(SSID)ssj0000322288 035 $a(PQKBManifestationID)12131457 035 $a(PQKBTitleCode)TC0000322288 035 $a(PQKBWorkID)10282850 035 $a(PQKB)11368524 035 $a(DE-He213)978-3-540-49222-1 035 $a(PPN)155205579 035 $a(EXLCZ)991000000000234259 100 $a20121227d1995 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aConstructive Physics$b[electronic resource] $eResults in Field Theory, Statistical Mechanics and Condensed Matter Physics /$fedited by Vincent Rivasseau 205 $a1st ed. 1995. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1995. 215 $a1 online resource (X, 342 p. 5 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v446 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-59190-7 327 $aSome 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. 330 $aAddressing graduate students and researchers in physics and mathematics, this book fills a gap in the literature. It is an introduction into modern constructive physics, field theory and statistical mechanics and a survey on the most recent research in this field. It presents the main technical tools such as cluster expansion and their implementation in the rigorous renormalization group, and studies physical models in some detail. The reader will find a study of the ultraviolet limit of the Gross-Neveu model, of continuous symmetry breaking and of self-avoiding random walks in statistical mechanics, as well as applications to solid-state physics. Mathematicians will find constructive methods useful for studies in partial differential equations. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v446 606 $aQuantum physics 606 $aQuantum computers 606 $aSpintronics 606 $aThermodynamics 606 $aStatistical physics 606 $aDynamical systems 606 $aDifferential geometry 606 $aAlgebraic geometry 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 606 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 615 0$aQuantum physics. 615 0$aQuantum computers. 615 0$aSpintronics. 615 0$aThermodynamics. 615 0$aStatistical physics. 615 0$aDynamical systems. 615 0$aDifferential geometry. 615 0$aAlgebraic geometry. 615 14$aQuantum Physics. 615 24$aQuantum Information Technology, Spintronics. 615 24$aThermodynamics. 615 24$aComplex Systems. 615 24$aDifferential Geometry. 615 24$aAlgebraic Geometry. 676 $a530.1/4 702 $aRivasseau$b Vincent$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910257402303321 996 $aConstructive physics$91487757 997 $aUNINA