Geometry, Topology and Quantum Field Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2003
|
| Schriftenreihe: | Fundamental Theories of Physics
130 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This is a monograph on geometrical and topological features which arise in quantum field theory. It is well known that when a chiral fermion interacts with a gauge field we have chiral anomaly which corresponds to the fact that divergence of the axial vector current does not vanish. It is observed that this is related to certain topological features associated with the fermion and leads to the realization of the topological origin of fermion number as well as the Berry phase. The role of gauge fields in the quantization procedure has its implications in these topological features of a fermion and helps us to consider a massive fermion as a soliton (skyrrnion). In this formalism chiral anomaly is found to be responsible for mass generation. This has its relevance in electroweak theory where it is observed that weak interaction gauge bosons attain mass topologically. The geometrical feature of a skyrmion also helps us to realize the internal symmetry of hadrons from reflection group. Finally it has been shown that noncommutative geometry where the space time manifold is taken to be X = M x Zz has its relevance in the description of a massive 4 fermion as a skyrmion when the discrete space is considered as the internal space and the symmetry breaking leads to chiral anomaly. In chap. l preliminary mathematical formulations related to the spinor structure have been discussed. In chap |
| Beschreibung: | 1 Online-Ressource (XI, 220 p) |
| ISBN: | 9789401716970 9789048163380 |
| DOI: | 10.1007/978-94-017-1697-0 |
Internformat
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| 490 | 0 | |a Fundamental Theories of Physics |v 130 | |
| 500 | |a This is a monograph on geometrical and topological features which arise in quantum field theory. It is well known that when a chiral fermion interacts with a gauge field we have chiral anomaly which corresponds to the fact that divergence of the axial vector current does not vanish. It is observed that this is related to certain topological features associated with the fermion and leads to the realization of the topological origin of fermion number as well as the Berry phase. The role of gauge fields in the quantization procedure has its implications in these topological features of a fermion and helps us to consider a massive fermion as a soliton (skyrrnion). In this formalism chiral anomaly is found to be responsible for mass generation. This has its relevance in electroweak theory where it is observed that weak interaction gauge bosons attain mass topologically. The geometrical feature of a skyrmion also helps us to realize the internal symmetry of hadrons from reflection group. Finally it has been shown that noncommutative geometry where the space time manifold is taken to be X = M x Zz has its relevance in the description of a massive 4 fermion as a skyrmion when the discrete space is considered as the internal space and the symmetry breaking leads to chiral anomaly. In chap. l preliminary mathematical formulations related to the spinor structure have been discussed. In chap | ||
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| 650 | 4 | |a Quantum theory | |
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Datensatz im Suchindex
| _version_ | 1804153084546383872 |
|---|---|
| any_adam_object | |
| author | Bandyopadhyay, Pratul |
| author_facet | Bandyopadhyay, Pratul |
| author_role | aut |
| author_sort | Bandyopadhyay, Pratul |
| author_variant | p b pb |
| building | Verbundindex |
| bvnumber | BV042416288 |
| classification_tum | PHY 023f PHY 000 PHY 014f |
| collection | ZDB-2-PHA ZDB-2-BAE |
| ctrlnum | (OCoLC)863973725 (DE-599)BVBBV042416288 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1007/978-94-017-1697-0 |
| format | Electronic eBook |
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| id | DE-604.BV042416288 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:59Z |
| institution | BVB |
| isbn | 9789401716970 9789048163380 |
| language | English |
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| publisher | Springer Netherlands |
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| series2 | Fundamental Theories of Physics |
| spelling | Bandyopadhyay, Pratul Verfasser aut Geometry, Topology and Quantum Field Theory by Pratul Bandyopadhyay Dordrecht Springer Netherlands 2003 1 Online-Ressource (XI, 220 p) txt rdacontent c rdamedia cr rdacarrier Fundamental Theories of Physics 130 This is a monograph on geometrical and topological features which arise in quantum field theory. It is well known that when a chiral fermion interacts with a gauge field we have chiral anomaly which corresponds to the fact that divergence of the axial vector current does not vanish. It is observed that this is related to certain topological features associated with the fermion and leads to the realization of the topological origin of fermion number as well as the Berry phase. The role of gauge fields in the quantization procedure has its implications in these topological features of a fermion and helps us to consider a massive fermion as a soliton (skyrrnion). In this formalism chiral anomaly is found to be responsible for mass generation. This has its relevance in electroweak theory where it is observed that weak interaction gauge bosons attain mass topologically. The geometrical feature of a skyrmion also helps us to realize the internal symmetry of hadrons from reflection group. Finally it has been shown that noncommutative geometry where the space time manifold is taken to be X = M x Zz has its relevance in the description of a massive 4 fermion as a skyrmion when the discrete space is considered as the internal space and the symmetry breaking leads to chiral anomaly. In chap. l preliminary mathematical formulations related to the spinor structure have been discussed. In chap Physics Global analysis Global differential geometry Quantum theory Nuclear physics Quantum Physics Elementary Particles, Quantum Field Theory Nuclear Physics, Heavy Ions, Hadrons Differential Geometry Global Analysis and Analysis on Manifolds Quantentheorie Topologie (DE-588)4060425-1 gnd rswk-swf Geometrische Quantisierung (DE-588)4156720-1 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Topologische Quantenfeldtheorie (DE-588)4426450-1 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Topologie (DE-588)4060425-1 s DE-604 Geometrische Quantisierung (DE-588)4156720-1 s Topologische Quantenfeldtheorie (DE-588)4426450-1 s 1\p DE-604 https://doi.org/10.1007/978-94-017-1697-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bandyopadhyay, Pratul Geometry, Topology and Quantum Field Theory Physics Global analysis Global differential geometry Quantum theory Nuclear physics Quantum Physics Elementary Particles, Quantum Field Theory Nuclear Physics, Heavy Ions, Hadrons Differential Geometry Global Analysis and Analysis on Manifolds Quantentheorie Topologie (DE-588)4060425-1 gnd Geometrische Quantisierung (DE-588)4156720-1 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Topologische Quantenfeldtheorie (DE-588)4426450-1 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4156720-1 (DE-588)4047984-5 (DE-588)4426450-1 |
| title | Geometry, Topology and Quantum Field Theory |
| title_auth | Geometry, Topology and Quantum Field Theory |
| title_exact_search | Geometry, Topology and Quantum Field Theory |
| title_full | Geometry, Topology and Quantum Field Theory by Pratul Bandyopadhyay |
| title_fullStr | Geometry, Topology and Quantum Field Theory by Pratul Bandyopadhyay |
| title_full_unstemmed | Geometry, Topology and Quantum Field Theory by Pratul Bandyopadhyay |
| title_short | Geometry, Topology and Quantum Field Theory |
| title_sort | geometry topology and quantum field theory |
| topic | Physics Global analysis Global differential geometry Quantum theory Nuclear physics Quantum Physics Elementary Particles, Quantum Field Theory Nuclear Physics, Heavy Ions, Hadrons Differential Geometry Global Analysis and Analysis on Manifolds Quantentheorie Topologie (DE-588)4060425-1 gnd Geometrische Quantisierung (DE-588)4156720-1 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Topologische Quantenfeldtheorie (DE-588)4426450-1 gnd |
| topic_facet | Physics Global analysis Global differential geometry Quantum theory Nuclear physics Quantum Physics Elementary Particles, Quantum Field Theory Nuclear Physics, Heavy Ions, Hadrons Differential Geometry Global Analysis and Analysis on Manifolds Quantentheorie Topologie Geometrische Quantisierung Quantenfeldtheorie Topologische Quantenfeldtheorie |
| url | https://doi.org/10.1007/978-94-017-1697-0 |
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