New Symmetry Principles in Quantum Field Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1992
|
| Schriftenreihe: | NATO ASI Series, Series B: Physics
295 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed |
| Beschreibung: | 1 Online-Ressource (VIII, 529 p) |
| ISBN: | 9781461534723 9781461365389 |
| ISSN: | 0258-1221 |
| DOI: | 10.1007/978-1-4615-3472-3 |
Internformat
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| 245 | 1 | 0 | |a New Symmetry Principles in Quantum Field Theory |c edited by J. Fröhlich, G. Hooft, A. Jaffe, G. Mack, P. K. Mitter, R. Stora |
| 246 | 1 | 3 | |a Proceedings of the NATO Advanced Study Institute, held in Cargèse, France, July 16-27, 1991 |
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| 500 | |a Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed | ||
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Datensatz im Suchindex
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| spelling | Fröhlich, J. Verfasser aut New Symmetry Principles in Quantum Field Theory edited by J. Fröhlich, G. Hooft, A. Jaffe, G. Mack, P. K. Mitter, R. Stora Proceedings of the NATO Advanced Study Institute, held in Cargèse, France, July 16-27, 1991 Boston, MA Springer US 1992 1 Online-Ressource (VIII, 529 p) txt rdacontent c rdamedia cr rdacarrier NATO ASI Series, Series B: Physics 295 0258-1221 Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed Physics Crystallography Solid State Physics Spectroscopy and Microscopy Condensed Matter Physics Theoretical, Mathematical and Computational Physics Symmetrie (DE-588)4058724-1 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1991 Cargèse gnd-content Quantenfeldtheorie (DE-588)4047984-5 s Symmetrie (DE-588)4058724-1 s DE-604 Hooft, G. Sonstige oth Jaffe, A. Sonstige oth Mack, G. Sonstige oth Mitter, P. K. Sonstige oth Stora, R. Sonstige oth https://doi.org/10.1007/978-1-4615-3472-3 Verlag Volltext |
| spellingShingle | Fröhlich, J. New Symmetry Principles in Quantum Field Theory Physics Crystallography Solid State Physics Spectroscopy and Microscopy Condensed Matter Physics Theoretical, Mathematical and Computational Physics Symmetrie (DE-588)4058724-1 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4058724-1 (DE-588)4047984-5 (DE-588)1071861417 |
| title | New Symmetry Principles in Quantum Field Theory |
| title_alt | Proceedings of the NATO Advanced Study Institute, held in Cargèse, France, July 16-27, 1991 |
| title_auth | New Symmetry Principles in Quantum Field Theory |
| title_exact_search | New Symmetry Principles in Quantum Field Theory |
| title_full | New Symmetry Principles in Quantum Field Theory edited by J. Fröhlich, G. Hooft, A. Jaffe, G. Mack, P. K. Mitter, R. Stora |
| title_fullStr | New Symmetry Principles in Quantum Field Theory edited by J. Fröhlich, G. Hooft, A. Jaffe, G. Mack, P. K. Mitter, R. Stora |
| title_full_unstemmed | New Symmetry Principles in Quantum Field Theory edited by J. Fröhlich, G. Hooft, A. Jaffe, G. Mack, P. K. Mitter, R. Stora |
| title_short | New Symmetry Principles in Quantum Field Theory |
| title_sort | new symmetry principles in quantum field theory |
| topic | Physics Crystallography Solid State Physics Spectroscopy and Microscopy Condensed Matter Physics Theoretical, Mathematical and Computational Physics Symmetrie (DE-588)4058724-1 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Physics Crystallography Solid State Physics Spectroscopy and Microscopy Condensed Matter Physics Theoretical, Mathematical and Computational Physics Symmetrie Quantenfeldtheorie Konferenzschrift 1991 Cargèse |
| url | https://doi.org/10.1007/978-1-4615-3472-3 |
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