LEADER 04975nam 22007935 450 001 9910300407003321 005 20200706175016.0 010 $a94-017-9750-1 024 7 $a10.1007/978-94-017-9750-4 035 $a(CKB)3710000000402956 035 $a(EBL)2094323 035 $a(SSID)ssj0001501372 035 $a(PQKBManifestationID)11814861 035 $a(PQKBTitleCode)TC0001501372 035 $a(PQKBWorkID)11524806 035 $a(PQKB)11199296 035 $a(DE-He213)978-94-017-9750-4 035 $a(MiAaPQ)EBC2094323 035 $a(PPN)185485154 035 $a(EXLCZ)993710000000402956 100 $a20150424d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBRST Symmetry and de Rham Cohomology$b[electronic resource] /$fby Soon-Tae Hong 205 $a1st ed. 2015. 210 1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$d2015. 215 $a1 online resource (205 p.) 300 $aDescription based upon print version of record. 311 $a94-017-9749-8 320 $aIncludes bibliographical references. 327 $aPreface -- 1. Introduction -- 2. Hamiltonian quantization with constraints -- 3. BRST symmetry in constrained systems -- 4. Symplectic embedding and Hamilton-Jacobi quantization -- 5. Hamiltonian quantization and BRST symmetry of soliton models -- 6. Hamiltonian quantization and BRST symmetry of Skyrmion models -- 7. Hamiltonian structure of other models -- 8. Phenomenological soliton -- 9. De Rham cohomology in constrained physical system -- Appendix. 330 $aThis book provides an advanced introduction to extended theories of quantum field theory and algebraic topology, including Hamiltonian quantization associated with some geometrical constraints, symplectic embedding and Hamilton-Jacobi quantization and Becci-Rouet-Stora-Tyutin (BRST) symmetry, as well as de Rham cohomology. It offers a critical overview of the research in this area and unifies the existing literature, employing a consistent notation. Although the results presented apply in principle to all alternative quantization schemes, special emphasis is placed on the BRST quantization for constrained physical systems and its corresponding de Rham cohomology group structure. These were studied by theoretical physicists from the early 1960s and appeared in attempts to quantize rigorously some physical theories such as solitons and other models subject to geometrical constraints. In particular, phenomenological soliton theories such as Skyrmion and chiral bag models have seen a revival following experimental data from the SAMPLE and HAPPEX Collaborations, and these are discussed. The book describes how these model predictions were shown to include rigorous treatments of geometrical constraints because these constraints affect the predictions themselves. The application of the BRST symmetry to the de Rham cohomology contributes to a deep understanding of Hilbert space of constrained physical theories. Aimed at graduate-level students in quantum field theory, the book will also serve as a useful reference for those working in the field. An extensive bibliography guides the reader towards the source literature on particular topics. 606 $aQuantum field theory 606 $aString theory 606 $aElementary particles (Physics) 606 $aMathematical physics 606 $aPhysics 606 $aNuclear physics 606 $aHeavy ions 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 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aNuclear Physics, Heavy Ions, Hadrons$3https://scigraph.springernature.com/ontologies/product-market-codes/P23010 615 0$aQuantum field theory. 615 0$aString theory. 615 0$aElementary particles (Physics). 615 0$aMathematical physics. 615 0$aPhysics. 615 0$aNuclear physics. 615 0$aHeavy ions. 615 14$aQuantum Field Theories, String Theory. 615 24$aElementary Particles, Quantum Field Theory. 615 24$aMathematical Physics. 615 24$aMathematical Methods in Physics. 615 24$aNuclear Physics, Heavy Ions, Hadrons. 676 $a530 676 $a530.14 676 $a530.15 676 $a539.7092 676 $a539.72 700 $aHong$b Soon-Tae$4aut$4http://id.loc.gov/vocabulary/relators/aut$0792825 906 $aBOOK 912 $a9910300407003321 996 $aBRST Symmetry and de Rham Cohomology$91773067 997 $aUNINA