Developments in High Energy Physics: Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Vienna
Springer Vienna
1970
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Schriftenreihe: | Acta Physica Austriaca
7/1970 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | We summarize the situation regarding non-polynomial Lagrangians: I should make the qualification that an enor mous amount of verification is needed before the problems of renormalizability are all sorted out, but one may ten tatively state: 1) All matrix elements are finite for theories where the Dyson index D is less than two. 2) For the cases when D=2 or 3, counter-terms have been explicitly written which absorb all infinities and the theories are renormalizable. 3) Mixed theories of polynomial and non-polynomial fields appear to be renormalizable provided the Dyson in dices separately and jointly fulfill renormalizability criteria. We believe that weak interactions, chiral La grangians and Yang-Mills theory fall into this class though detailed proofs have not yet been constructed. 4) It seems likely that to each order in the major coupling (and to all orders in the minor coupling}the S matrix elements, as computed by methods outlined, satisfy the necessary unitarity and analyticity requirements |
Beschreibung: | 1 Online-Ressource (V, 633 p) |
ISBN: | 9783709158357 9783709158371 |
ISSN: | 0177-8811 |
DOI: | 10.1007/978-3-7091-5835-7 |
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spelling | Urban, Paul Verfasser aut Developments in High Energy Physics Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970 edited by Paul Urban Vienna Springer Vienna 1970 1 Online-Ressource (V, 633 p) txt rdacontent c rdamedia cr rdacarrier Acta Physica Austriaca 7/1970 0177-8811 We summarize the situation regarding non-polynomial Lagrangians: I should make the qualification that an enor mous amount of verification is needed before the problems of renormalizability are all sorted out, but one may ten tatively state: 1) All matrix elements are finite for theories where the Dyson index D is less than two. 2) For the cases when D=2 or 3, counter-terms have been explicitly written which absorb all infinities and the theories are renormalizable. 3) Mixed theories of polynomial and non-polynomial fields appear to be renormalizable provided the Dyson in dices separately and jointly fulfill renormalizability criteria. We believe that weak interactions, chiral La grangians and Yang-Mills theory fall into this class though detailed proofs have not yet been constructed. 4) It seems likely that to each order in the major coupling (and to all orders in the minor coupling}the S matrix elements, as computed by methods outlined, satisfy the necessary unitarity and analyticity requirements Physics Physics, general Hochenergiephysik (DE-588)4127286-9 gnd rswk-swf Theorie (DE-588)4059787-8 gnd rswk-swf Elementarteilchen (DE-588)4014413-6 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1970 Schladming gnd-content Hochenergiephysik (DE-588)4127286-9 s Theorie (DE-588)4059787-8 s 2\p DE-604 Elementarteilchen (DE-588)4014413-6 s 3\p DE-604 https://doi.org/10.1007/978-3-7091-5835-7 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 Developments in High Energy Physics Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970 Physics Physics, general Hochenergiephysik (DE-588)4127286-9 gnd Theorie (DE-588)4059787-8 gnd Elementarteilchen (DE-588)4014413-6 gnd |
subject_GND | (DE-588)4127286-9 (DE-588)4059787-8 (DE-588)4014413-6 (DE-588)1071861417 |
title | Developments in High Energy Physics Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970 |
title_auth | Developments in High Energy Physics Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970 |
title_exact_search | Developments in High Energy Physics Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970 |
title_full | Developments in High Energy Physics Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970 edited by Paul Urban |
title_fullStr | Developments in High Energy Physics Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970 edited by Paul Urban |
title_full_unstemmed | Developments in High Energy Physics Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970 edited by Paul Urban |
title_short | Developments in High Energy Physics |
title_sort | developments in high energy physics proceedings of the ix internationale universitatswochen fur kernphysik 1970 der karl franzens universitat graz at schladming steiermark austria 23rd february 7th march 1970 |
title_sub | Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February – 7th March 1970 |
topic | Physics Physics, general Hochenergiephysik (DE-588)4127286-9 gnd Theorie (DE-588)4059787-8 gnd Elementarteilchen (DE-588)4014413-6 gnd |
topic_facet | Physics Physics, general Hochenergiephysik Theorie Elementarteilchen Konferenzschrift 1970 Schladming |
url | https://doi.org/10.1007/978-3-7091-5835-7 |
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