04975nam 22007935 450 991030040700332120200706175016.094-017-9750-110.1007/978-94-017-9750-4(CKB)3710000000402956(EBL)2094323(SSID)ssj0001501372(PQKBManifestationID)11814861(PQKBTitleCode)TC0001501372(PQKBWorkID)11524806(PQKB)11199296(DE-He213)978-94-017-9750-4(MiAaPQ)EBC2094323(PPN)185485154(EXLCZ)99371000000040295620150424d2015 u| 0engur|n|---|||||txtccrBRST Symmetry and de Rham Cohomology[electronic resource] /by Soon-Tae Hong1st ed. 2015.Dordrecht :Springer Netherlands :Imprint: Springer,2015.1 online resource (205 p.)Description based upon print version of record.94-017-9749-8 Includes bibliographical references.Preface -- 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.This 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.Quantum field theoryString theoryElementary particles (Physics)Mathematical physicsPhysicsNuclear physicsHeavy ionsQuantum Field Theories, String Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19048Elementary Particles, Quantum Field Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P23029Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Nuclear Physics, Heavy Ions, Hadronshttps://scigraph.springernature.com/ontologies/product-market-codes/P23010Quantum field theory.String theory.Elementary particles (Physics).Mathematical physics.Physics.Nuclear physics.Heavy ions.Quantum Field Theories, String Theory.Elementary Particles, Quantum Field Theory.Mathematical Physics.Mathematical Methods in Physics.Nuclear Physics, Heavy Ions, Hadrons.530530.14530.15539.7092539.72Hong Soon-Taeauthttp://id.loc.gov/vocabulary/relators/aut792825BOOK9910300407003321BRST Symmetry and de Rham Cohomology1773067UNINA