Facts and Prospects of Gauge Theories:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Vienna
Springer Vienna
1978
|
| Schriftenreihe: | Acta Physica Austriaca, Proceedings of the XVII. Internationale Universitätswochen für Kernphysik 1978 der Karl-Franzens-Universität Graz at Schladming (Steiermark, Austria) 21st February–3rd March 1978
19/1978 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | These lectures concern the properties of topological charge in gauge theories and the physical effects which have been attributed to its existence. No introduction to this subject would be adequate without a discussion of the original work of Belavin, Polyakov, Schwarz, and Tyupkin [1], of the beautiful calculation by 't Hooft [2,3], and of the occurrence of 8-vacua [4-6]. Other important topics include recent progress on solutions of the Yang-Mills equation of motion [7,8], and the problem of parity and time-reversal invariance in strong interactions [9] (axions [10,11], etc. ). In a few places, I have strayed from the conventional line and in one important case, disagreed with it. The im portant remark concerns the connection between chirality and topological charge first pointed out by 't Hooft [2]: in the literature, the rule is repeatedly quoted with the wrong sign! If QS is the generator for Abelian chiral transformations of massless quarks with N flavours, the correct form of the rule is ßQs = - 2N {topological charge} (1. 1) where ßQS means the out eigenvalue of QS minus the in eigenvalue. The sign can be checked by consulting the standard WKB calculation [2,3], rotating to Minkowski space, and observing that the sum of right-handed chiralities of operators in a Green's function equals -ßQS. The wrong sign is an automatie consequence of a standard but incorrect derivation in which the axial charge is misidentified |
| Beschreibung: | 1 Online-Ressource (VI, 890 p) |
| ISBN: | 9783709185384 9783709185407 |
| ISSN: | 0177-8811 |
| DOI: | 10.1007/978-3-7091-8538-4 |
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| 500 | |a These lectures concern the properties of topological charge in gauge theories and the physical effects which have been attributed to its existence. No introduction to this subject would be adequate without a discussion of the original work of Belavin, Polyakov, Schwarz, and Tyupkin [1], of the beautiful calculation by 't Hooft [2,3], and of the occurrence of 8-vacua [4-6]. Other important topics include recent progress on solutions of the Yang-Mills equation of motion [7,8], and the problem of parity and time-reversal invariance in strong interactions [9] (axions [10,11], etc. ). In a few places, I have strayed from the conventional line and in one important case, disagreed with it. The im portant remark concerns the connection between chirality and topological charge first pointed out by 't Hooft [2]: in the literature, the rule is repeatedly quoted with the wrong sign! If QS is the generator for Abelian chiral transformations of massless quarks with N flavours, the correct form of the rule is ßQs = - 2N {topological charge} (1. 1) where ßQS means the out eigenvalue of QS minus the in eigenvalue. The sign can be checked by consulting the standard WKB calculation [2,3], rotating to Minkowski space, and observing that the sum of right-handed chiralities of operators in a Green's function equals -ßQS. The wrong sign is an automatie consequence of a standard but incorrect derivation in which the axial charge is misidentified | ||
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Datensatz im Suchindex
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| discipline | Physik |
| doi_str_mv | 10.1007/978-3-7091-8538-4 |
| format | Electronic eBook |
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| series2 | Acta Physica Austriaca, Proceedings of the XVII. Internationale Universitätswochen für Kernphysik 1978 der Karl-Franzens-Universität Graz at Schladming (Steiermark, Austria) 21st February–3rd March 1978 |
| spelling | Urban, Paul Verfasser aut Facts and Prospects of Gauge Theories edited by Paul Urban Vienna Springer Vienna 1978 1 Online-Ressource (VI, 890 p) txt rdacontent c rdamedia cr rdacarrier Acta Physica Austriaca, Proceedings of the XVII. Internationale Universitätswochen für Kernphysik 1978 der Karl-Franzens-Universität Graz at Schladming (Steiermark, Austria) 21st February–3rd March 1978 19/1978 0177-8811 These lectures concern the properties of topological charge in gauge theories and the physical effects which have been attributed to its existence. No introduction to this subject would be adequate without a discussion of the original work of Belavin, Polyakov, Schwarz, and Tyupkin [1], of the beautiful calculation by 't Hooft [2,3], and of the occurrence of 8-vacua [4-6]. Other important topics include recent progress on solutions of the Yang-Mills equation of motion [7,8], and the problem of parity and time-reversal invariance in strong interactions [9] (axions [10,11], etc. ). In a few places, I have strayed from the conventional line and in one important case, disagreed with it. The im portant remark concerns the connection between chirality and topological charge first pointed out by 't Hooft [2]: in the literature, the rule is repeatedly quoted with the wrong sign! If QS is the generator for Abelian chiral transformations of massless quarks with N flavours, the correct form of the rule is ßQs = - 2N {topological charge} (1. 1) where ßQS means the out eigenvalue of QS minus the in eigenvalue. The sign can be checked by consulting the standard WKB calculation [2,3], rotating to Minkowski space, and observing that the sum of right-handed chiralities of operators in a Green's function equals -ßQS. The wrong sign is an automatie consequence of a standard but incorrect derivation in which the axial charge is misidentified Physics Nuclear physics Quantum theory Nuclear fusion Elementary Particles, Quantum Field Theory Nuclear Physics, Heavy Ions, Hadrons Nuclear Fusion Quantentheorie Eichtheorie (DE-588)4122125-4 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1978 Schladming gnd-content Eichtheorie (DE-588)4122125-4 s 2\p DE-604 https://doi.org/10.1007/978-3-7091-8538-4 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 |
| spellingShingle | Urban, Paul Facts and Prospects of Gauge Theories Physics Nuclear physics Quantum theory Nuclear fusion Elementary Particles, Quantum Field Theory Nuclear Physics, Heavy Ions, Hadrons Nuclear Fusion Quantentheorie Eichtheorie (DE-588)4122125-4 gnd |
| subject_GND | (DE-588)4122125-4 (DE-588)1071861417 |
| title | Facts and Prospects of Gauge Theories |
| title_auth | Facts and Prospects of Gauge Theories |
| title_exact_search | Facts and Prospects of Gauge Theories |
| title_full | Facts and Prospects of Gauge Theories edited by Paul Urban |
| title_fullStr | Facts and Prospects of Gauge Theories edited by Paul Urban |
| title_full_unstemmed | Facts and Prospects of Gauge Theories edited by Paul Urban |
| title_short | Facts and Prospects of Gauge Theories |
| title_sort | facts and prospects of gauge theories |
| topic | Physics Nuclear physics Quantum theory Nuclear fusion Elementary Particles, Quantum Field Theory Nuclear Physics, Heavy Ions, Hadrons Nuclear Fusion Quantentheorie Eichtheorie (DE-588)4122125-4 gnd |
| topic_facet | Physics Nuclear physics Quantum theory Nuclear fusion Elementary Particles, Quantum Field Theory Nuclear Physics, Heavy Ions, Hadrons Nuclear Fusion Quantentheorie Eichtheorie Konferenzschrift 1978 Schladming |
| url | https://doi.org/10.1007/978-3-7091-8538-4 |
| work_keys_str_mv | AT urbanpaul factsandprospectsofgaugetheories |