Concepts in Hadron Physics: Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Vienna
Springer Vienna
1971
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| Schriftenreihe: | Few-Body Systems
8/1971 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Soluble quantum field theory models are a rare commodity. An infinite number of degrees of freedom and noncompact invariance groups have a nasty habit of ex ploding in the model-makers' face. Nevertheless, impor tant progress has recently been made in the class of superrenormalizable relativistic theories, such as a self-interacting boson in a two-dimensional space time [ 1]. These results have been obtained starting with the free field and adding the interaction in a carefully controlled way. Yet, the models successfully studied in this way do DQ~ have an infinite field strength renormalization, which, at least according to perturbation theory, should appear for realistic relativistic models in four-dimensional space time. ~2~!Y~~!9n_~g_~h~_~gg~1 The ultralocal scalar field theories discussed in these lecture notes are likewise motivated by relativistic theories but are based on a different approximatiGn. This approximation formally amounts to dropping the spatial gradient term from the Hamiltonian rather than the non linear interaction. For a self-interacting boson field in a space-time of (s+l) dimensions (s~l), the classical ultralocal model Hamiltonian reads (1-1) The quantum theory of this model is the subject of the present paper. This model differs formally from a rela tivistic theory by the term f![Z~Cl(~)]2 d~ which, it is hoped, can, in one or another way, be added as a pertur 229 bation in the quantum theory. However, that still remains a problem for the future, and we confine our remarks to . . a careful study of the "unperturbed" model (1-1) |
| Beschreibung: | 1 Online-Ressource (XVII, 424 p) |
| ISBN: | 9783709182840 9783709182864 |
| ISSN: | 0177-8811 |
| DOI: | 10.1007/978-3-7091-8284-0 |
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| 245 | 1 | 0 | |a Concepts in Hadron Physics |b Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971 |c edited by Paul Urban |
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| 500 | |a Soluble quantum field theory models are a rare commodity. An infinite number of degrees of freedom and noncompact invariance groups have a nasty habit of ex ploding in the model-makers' face. Nevertheless, impor tant progress has recently been made in the class of superrenormalizable relativistic theories, such as a self-interacting boson in a two-dimensional space time [ 1]. These results have been obtained starting with the free field and adding the interaction in a carefully controlled way. Yet, the models successfully studied in this way do DQ~ have an infinite field strength renormalization, which, at least according to perturbation theory, should appear for realistic relativistic models in four-dimensional space time. ~2~!Y~~!9n_~g_~h~_~gg~1 The ultralocal scalar field theories discussed in these lecture notes are likewise motivated by relativistic theories but are based on a different approximatiGn. This approximation formally amounts to dropping the spatial gradient term from the Hamiltonian rather than the non linear interaction. For a self-interacting boson field in a space-time of (s+l) dimensions (s~l), the classical ultralocal model Hamiltonian reads (1-1) The quantum theory of this model is the subject of the present paper. This model differs formally from a rela tivistic theory by the term f![Z~Cl(~)]2 d~ which, it is hoped, can, in one or another way, be added as a pertur 229 bation in the quantum theory. However, that still remains a problem for the future, and we confine our remarks to . . a careful study of the "unperturbed" model (1-1) | ||
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Datensatz im Suchindex
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| any_adam_object | |
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| author_facet | Urban, Paul |
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| author_sort | Urban, Paul |
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| bvnumber | BV042414803 |
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| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.72 |
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| discipline | Physik |
| doi_str_mv | 10.1007/978-3-7091-8284-0 |
| format | Electronic eBook |
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| spelling | Urban, Paul Verfasser aut Concepts in Hadron Physics Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971 edited by Paul Urban Vienna Springer Vienna 1971 1 Online-Ressource (XVII, 424 p) txt rdacontent c rdamedia cr rdacarrier Few-Body Systems 8/1971 0177-8811 Soluble quantum field theory models are a rare commodity. An infinite number of degrees of freedom and noncompact invariance groups have a nasty habit of ex ploding in the model-makers' face. Nevertheless, impor tant progress has recently been made in the class of superrenormalizable relativistic theories, such as a self-interacting boson in a two-dimensional space time [ 1]. These results have been obtained starting with the free field and adding the interaction in a carefully controlled way. Yet, the models successfully studied in this way do DQ~ have an infinite field strength renormalization, which, at least according to perturbation theory, should appear for realistic relativistic models in four-dimensional space time. ~2~!Y~~!9n_~g_~h~_~gg~1 The ultralocal scalar field theories discussed in these lecture notes are likewise motivated by relativistic theories but are based on a different approximatiGn. This approximation formally amounts to dropping the spatial gradient term from the Hamiltonian rather than the non linear interaction. For a self-interacting boson field in a space-time of (s+l) dimensions (s~l), the classical ultralocal model Hamiltonian reads (1-1) The quantum theory of this model is the subject of the present paper. This model differs formally from a rela tivistic theory by the term f![Z~Cl(~)]2 d~ which, it is hoped, can, in one or another way, be added as a pertur 229 bation in the quantum theory. However, that still remains a problem for the future, and we confine our remarks to . . a careful study of the "unperturbed" model (1-1) Physics Quantum theory Elementary Particles, Quantum Field Theory Quantentheorie Hochenergiephysik (DE-588)4127286-9 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Hadron (DE-588)4022771-6 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1971 Schladming gnd-content Hochenergiephysik (DE-588)4127286-9 s Hadron (DE-588)4022771-6 s 2\p DE-604 Quantenfeldtheorie (DE-588)4047984-5 s 3\p DE-604 https://doi.org/10.1007/978-3-7091-8284-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Urban, Paul Concepts in Hadron Physics Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971 Physics Quantum theory Elementary Particles, Quantum Field Theory Quantentheorie Hochenergiephysik (DE-588)4127286-9 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Hadron (DE-588)4022771-6 gnd |
| subject_GND | (DE-588)4127286-9 (DE-588)4047984-5 (DE-588)4022771-6 (DE-588)1071861417 |
| title | Concepts in Hadron Physics Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971 |
| title_auth | Concepts in Hadron Physics Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971 |
| title_exact_search | Concepts in Hadron Physics Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971 |
| title_full | Concepts in Hadron Physics Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971 edited by Paul Urban |
| title_fullStr | Concepts in Hadron Physics Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971 edited by Paul Urban |
| title_full_unstemmed | Concepts in Hadron Physics Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971 edited by Paul Urban |
| title_short | Concepts in Hadron Physics |
| title_sort | concepts in hadron physics proceedings of the x internationale universitatswochen fur kernphysik 1971 der karl franzens universitat graz at schladming steiermark austria 1st march 13th march 1971 |
| title_sub | Proceedings of the X. Internationale Universitätswochen für Kernphysik 1971 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 1st March – 13th March 1971 |
| topic | Physics Quantum theory Elementary Particles, Quantum Field Theory Quantentheorie Hochenergiephysik (DE-588)4127286-9 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Hadron (DE-588)4022771-6 gnd |
| topic_facet | Physics Quantum theory Elementary Particles, Quantum Field Theory Quantentheorie Hochenergiephysik Quantenfeldtheorie Hadron Konferenzschrift 1971 Schladming |
| url | https://doi.org/10.1007/978-3-7091-8284-0 |
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