LEADER 05077nam 22007455 450 001 996466831703316 005 20200702031450.0 010 $a3-540-46552-9 024 7 $a10.1007/3-540-46552-9 035 $a(CKB)1000000000778195 035 $a(SSID)ssj0000323510 035 $a(PQKBManifestationID)12114810 035 $a(PQKBTitleCode)TC0000323510 035 $a(PQKBWorkID)10297251 035 $a(PQKB)10862981 035 $a(DE-He213)978-3-540-46552-2 035 $a(MiAaPQ)EBC3072503 035 $a(PPN)155183834 035 $a(EXLCZ)991000000000778195 100 $a20121227d2000 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aGeometry and Quantum Physics$b[electronic resource] $eProceedings of the 38. Internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, January 9?16, 1999 /$fedited by H. Gausterer, H. Grosse, L. Pittner 205 $a1st ed. 2000. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000. 215 $a1 online resource (VII, 408 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v543 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-67112-9 320 $aIncludes bibliographical references at the end of each chapters. 327 $aNotes on Equivariant Localization -- An Introduction to Spin Foam Models of BF Theory and Quantum Gravity -- T-Duality and the Gravitational Description of Gauge Theories -- Noncommutative Geometry and Basic Physics -- An Introduction to Noncommutative Geometry -- Geometric Properties of Transport in Quantum Hall Systems -- q-Deformed Heisenberg Algebras -- Quantum Gravity with Matter Fields in Two Dimensions -- A Quantum Minkowski Space-Time -- Supersymmetry and Nonperturbative Aspects in Quantum Cosmology -- Noncommutative Supergeometry of Graded Matrix Algebras -- Duals for Nonabelian Lattice Gauge Theories -- Absolute Conservation Law for Black Holes -- Double Numbers and Two Dimensional Anomaly Free Field Models -- A Global Path Integral for Yang-Mills Theory -- Anyonic Solutions to the Thirring Model -- Twisting of Quantum Differentials -- Wigner Solid and Laughlin Liquid of Bose Condensed Charge-Vortex Composites -- The Modular Closure of Braided Tensor Categories -- Clifford Algebra as a Useful Language for Geometry and Physics -- Fields on Noncommutative Manifolds -- Geometry of 2-Fold Degenerated 2-Level System -- On q-Deformations and Dunkl-Deformations of Harmonic Oscillators -- Quantum Field Theory in Non-globally Hyperbolic Space-Times -- Steps Beyond the Standard Model in Noncommutative Geometry -- Vacuum Polarization Effects in the Background of Nontrivial Topology -- F-Theory and Toric Geometry -- Actions for Duality-Symmetric Fields -- Unitary Representations of the Quantum Anti-de Sitter Group at Roots of Unity and Elementary Particles -- The Limits of D-Brane Action. 330 $aIn modern mathematical physics, classical together with quantum, geometrical and functional analytic methods are used simultaneously. Non-commutative geometry in particular is becoming a useful tool in quantum field theories. This book, aimed at advanced students and researchers, provides an introduction to these ideas. Researchers will benefit particularly from the extensive survey articles on models relating to quantum gravity, string theory, and non-commutative geometry, as well as Connes' approach to the standard model. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v543 606 $aPhysics 606 $aQuantum physics 606 $aQuantum field theory 606 $aString theory 606 $aElementary particles (Physics) 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 615 0$aPhysics. 615 0$aQuantum physics. 615 0$aQuantum field theory. 615 0$aString theory. 615 0$aElementary particles (Physics). 615 14$aMathematical Methods in Physics. 615 24$aQuantum Physics. 615 24$aQuantum Field Theories, String Theory. 615 24$aElementary Particles, Quantum Field Theory. 676 $a530.12 702 $aGausterer$b H$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGrosse$b H$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPittner$b L$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466831703316 996 $aGeometry and quantum physics$91491082 997 $aUNISA