LEADER 05446nam 22007335 450 001 996466712203316 005 20200629170426.0 010 $a3-540-39178-9 024 7 $a10.1007/BFb0033712 035 $a(CKB)1000000000230752 035 $a(SSID)ssj0000326229 035 $a(PQKBManifestationID)12091044 035 $a(PQKBTitleCode)TC0000326229 035 $a(PQKBWorkID)10296171 035 $a(PQKB)10947029 035 $a(DE-He213)978-3-540-39178-4 035 $a(PPN)155187228 035 $a(EXLCZ)991000000000230752 100 $a20121227d1988 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aRenormalization of Quantum Field Theories with Non-linear Field Transformations$b[electronic resource] $eProceedings of a Workshop, Held at Ringberg Castle Tegernsee, FRG, February 16?20, 1987 /$fedited by Peter Breitenlohner, Dieter Maison, Klaus Sibold 205 $a1st ed. 1988. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1988. 215 $a1 online resource (VI, 242 p. 11 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v303 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-19263-8 327 $aRenormalization theory, a short account of results and problems -- Some remarks for the construction of yang-mills field theories -- Non-linear field transformations simple examples and general remarks -- Superspace renormalization of N = 1, d = 4 supersymmetric gauge theories -- N= 2 Supersymmetric Yang-Mills Theories in the Wess-Zumino Gauge -- Radiative mass generation in scale invariant systems with spontaneous symmetry breakdown -- Discussion session on part I: Non-linear field transformations in 4 dimensions -- The non-linear sigma model -- B.R.S. renormalization of B(n+1) non linear ?-model -- Renormalization of bosonic non-linear ?-models built on compact homogeneous manifolds -- Nonlinear field renormalizations in the background field method -- Kahler geometry and supersymmetric non-linear ?-models: An introduction -- Methods in hyperkähler ? models building -- Sigma model ?-functions at all loop orders -- The d=2 conformally invariant SU(2) ?-model with wess-zumino term and related critical theories+) -- The two-dimensional 0(n) nonlinear ?-model from a wilson renormalization group viewpoint -- Nonlinear ?-models with boundary and open strings -- Discussion session on part II: Non-linear ?-models -- Remarks on slavnov symmetries -- Supersymmetric properties of field theories in 10-D -- Generalized wess-zumino terms. 330 $aThe characteristic feature of many models for field theories based on concepts of differential geometry is their nonlinearity. In this book a systematic exposition of nonlinear transformations in quantum field theory is given. The book starts with a short account of the renormalization theory with examples which can be handled successfully in four space-time dimensions. The second part is devoted to nonlinear sigma-models and their constructions in two dimensions. In the final section geometrical and cohomological methods and the relations to string theory are treated. This book is an important contribution towards rigorous definitions, and the mastering of nonlinear reparametrizations in agreement with the principles of quantum field theory will help to deal with anomalies, geometry and the like consistently and thus to understand better their implications for physics. The collection of papers addresses researchers and graduate students as well and will stimulate further work on the foundations of quantum field theory. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v303 606 $aElementary particles (Physics) 606 $aQuantum field theory 606 $aQuantum computers 606 $aSpintronics 606 $aQuantum physics 606 $aManifolds (Mathematics) 606 $aComplex manifolds 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027 615 0$aElementary particles (Physics). 615 0$aQuantum field theory. 615 0$aQuantum computers. 615 0$aSpintronics. 615 0$aQuantum physics. 615 0$aManifolds (Mathematics). 615 0$aComplex manifolds. 615 14$aElementary Particles, Quantum Field Theory. 615 24$aQuantum Information Technology, Spintronics. 615 24$aQuantum Physics. 615 24$aManifolds and Cell Complexes (incl. Diff.Topology). 676 $a539.72 702 $aBreitenlohner$b Peter$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMaison$b Dieter$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSibold$b Klaus$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a996466712203316 996 $aRenormalization of Quantum Field Theories with Non-linear Field Transformations$92516578 997 $aUNISA