Differential Geometrical Methods in Theoretical Physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1988
|
| Schriftenreihe: | NATO ASI Series, Series C: Mathematical and Physical Sciences
250 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | After almost half a century of existence the main question about quantum field theory seems still to be: what does it really describe? and not yet: does it provide a good description of nature? J. A. Swieca Ever since quantum field theory has been applied to strong int- actions, physicists have tried to obtain a nonperturbative und- standing. Dispersion theoretic sum rules, the S-matrix bootstrap, the dual models (and their reformulation in string language) and s the conformal bootstrap of the 70 are prominent cornerstones on this thorny path. Furthermore instantons and topological solitons have shed some light on the nonperturbati ve vacuum structure respectively on the existence of nonperturbative "charge" s- tors. To these attempts an additional one was recently added', which is yet not easily describable in terms of one "catch phrase". Dif- rent from previous attempts, it is almost entirely based on new noncommutative algebraic structures: "exchange algebras" whose "structure constants" are braid matrices which generate a ho- morphism of the infini te (inducti ve limi t) Artin braid group Boo into a von Neumann algebra. Mathematically there is a close 2 relation to recent work of Jones • Its physical origin is the resul t of a subtle analysis of Ei nstein causality expressed in terms of local commutati vi ty of space-li ke separated fields. It is most clearly recognizable in conformal invariant quantum field theories |
| Beschreibung: | 1 Online-Ressource (XVII, 471 p) |
| ISBN: | 9789401578097 9789048184590 |
| ISSN: | 1389-2185 |
| DOI: | 10.1007/978-94-015-7809-7 |
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| 245 | 1 | 0 | |a Differential Geometrical Methods in Theoretical Physics |c edited by K. Bleuler, M. Werner |
| 246 | 1 | 3 | |a Proceedings of the NATO Advanced Research Workshop and the 16th International Conference, Como, Italy, August 24-29, 1987 |
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| 490 | 0 | |a NATO ASI Series, Series C: Mathematical and Physical Sciences |v 250 |x 1389-2185 | |
| 500 | |a After almost half a century of existence the main question about quantum field theory seems still to be: what does it really describe? and not yet: does it provide a good description of nature? J. A. Swieca Ever since quantum field theory has been applied to strong int- actions, physicists have tried to obtain a nonperturbative und- standing. Dispersion theoretic sum rules, the S-matrix bootstrap, the dual models (and their reformulation in string language) and s the conformal bootstrap of the 70 are prominent cornerstones on this thorny path. Furthermore instantons and topological solitons have shed some light on the nonperturbati ve vacuum structure respectively on the existence of nonperturbative "charge" s- tors. To these attempts an additional one was recently added', which is yet not easily describable in terms of one "catch phrase". Dif- rent from previous attempts, it is almost entirely based on new noncommutative algebraic structures: "exchange algebras" whose "structure constants" are braid matrices which generate a ho- morphism of the infini te (inducti ve limi t) Artin braid group Boo into a von Neumann algebra. Mathematically there is a close 2 relation to recent work of Jones • Its physical origin is the resul t of a subtle analysis of Ei nstein causality expressed in terms of local commutati vi ty of space-li ke separated fields. It is most clearly recognizable in conformal invariant quantum field theories | ||
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| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
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| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-94-015-7809-7 |
| format | Electronic eBook |
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| id | DE-604.BV042416147 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:59Z |
| institution | BVB |
| isbn | 9789401578097 9789048184590 |
| issn | 1389-2185 |
| language | English |
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| physical | 1 Online-Ressource (XVII, 471 p) |
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| series2 | NATO ASI Series, Series C: Mathematical and Physical Sciences |
| spelling | Bleuler, K. Verfasser aut Differential Geometrical Methods in Theoretical Physics edited by K. Bleuler, M. Werner Proceedings of the NATO Advanced Research Workshop and the 16th International Conference, Como, Italy, August 24-29, 1987 Dordrecht Springer Netherlands 1988 1 Online-Ressource (XVII, 471 p) txt rdacontent c rdamedia cr rdacarrier NATO ASI Series, Series C: Mathematical and Physical Sciences 250 1389-2185 After almost half a century of existence the main question about quantum field theory seems still to be: what does it really describe? and not yet: does it provide a good description of nature? J. A. Swieca Ever since quantum field theory has been applied to strong int- actions, physicists have tried to obtain a nonperturbative und- standing. Dispersion theoretic sum rules, the S-matrix bootstrap, the dual models (and their reformulation in string language) and s the conformal bootstrap of the 70 are prominent cornerstones on this thorny path. Furthermore instantons and topological solitons have shed some light on the nonperturbati ve vacuum structure respectively on the existence of nonperturbative "charge" s- tors. To these attempts an additional one was recently added', which is yet not easily describable in terms of one "catch phrase". Dif- rent from previous attempts, it is almost entirely based on new noncommutative algebraic structures: "exchange algebras" whose "structure constants" are braid matrices which generate a ho- morphism of the infini te (inducti ve limi t) Artin braid group Boo into a von Neumann algebra. Mathematically there is a close 2 relation to recent work of Jones • Its physical origin is the resul t of a subtle analysis of Ei nstein causality expressed in terms of local commutati vi ty of space-li ke separated fields. It is most clearly recognizable in conformal invariant quantum field theories Mathematics Geometry Quantum theory Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics Mathematik Quantentheorie Werner, M. Sonstige oth https://doi.org/10.1007/978-94-015-7809-7 Verlag Volltext |
| spellingShingle | Bleuler, K. Differential Geometrical Methods in Theoretical Physics Mathematics Geometry Quantum theory Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics Mathematik Quantentheorie |
| title | Differential Geometrical Methods in Theoretical Physics |
| title_alt | Proceedings of the NATO Advanced Research Workshop and the 16th International Conference, Como, Italy, August 24-29, 1987 |
| title_auth | Differential Geometrical Methods in Theoretical Physics |
| title_exact_search | Differential Geometrical Methods in Theoretical Physics |
| title_full | Differential Geometrical Methods in Theoretical Physics edited by K. Bleuler, M. Werner |
| title_fullStr | Differential Geometrical Methods in Theoretical Physics edited by K. Bleuler, M. Werner |
| title_full_unstemmed | Differential Geometrical Methods in Theoretical Physics edited by K. Bleuler, M. Werner |
| title_short | Differential Geometrical Methods in Theoretical Physics |
| title_sort | differential geometrical methods in theoretical physics |
| topic | Mathematics Geometry Quantum theory Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics Mathematik Quantentheorie |
| topic_facet | Mathematics Geometry Quantum theory Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics Mathematik Quantentheorie |
| url | https://doi.org/10.1007/978-94-015-7809-7 |
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