advanced_tools:cocycles
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advanced_tools:cocycles [2017/06/01 14:50] jakobadmin created |
advanced_tools:cocycles [2018/01/02 14:12] (current) jakobadmin ↷ Links adapted because of a move operation |
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| "In field theory and in modern elementary particle theory, cocycles | "In field theory and in modern elementary particle theory, cocycles | ||
| - | are used to describe anomalies." ([[https://inspirehep.net/record/213998/files/v15-n3-p99.pdf|Source]]) | + | are used to describe [[advanced_notions:quantum_field_theory:anomalies|anomalies]]." ([[https://inspirehep.net/record/213998/files/v15-n3-p99.pdf|Source]]) |
| + | 1-cocycles are used to understand anomalies in the Lagrangian framework. The 1-cocycles show up in the non-conservation of classically conserved currents. | ||
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| + | 2-cocycles are used to understand anomalies in the Hamiltonian framework. They have the effect that it becomes impossible to satisfy Gauss' law. | ||
| + | ([[https://inspirehep.net/record/213998/files/v15-n3-p99.pdf|Source]]) | ||
| <tabbox Layman> | <tabbox Layman> | ||
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| <tabbox Student> | <tabbox Student> | ||
| - | + | For a great introduction see https://inspirehep.net/record/213998/files/v15-n3-p99.pdf and chapter III in Analysis On Infinite Dimensional Manifolds: Schrodinger Representation For Quantized Fields by R. Jackiw | |
| - | <note tip> | + | |
| - | In this section things should be explained by analogy and with pictures and, if necessary, some formulas. | + | |
| - | </note> | + | |
| - | + | ||
| <tabbox Researcher> | <tabbox Researcher> | ||
advanced_tools/cocycles.1496321428.txt.gz · Last modified: 2017/12/04 08:01 (external edit)
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