advanced_tools:cocycles
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| - | ====== Cocycles ====== | ||
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| - | <tabbox Why is it interesting?> | ||
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| - | "In field theory and in modern elementary particle theory, cocycles | ||
| - | are used to describe [[theories:quantum_theory:quantum_field_theory:anomalies|anomalies]]." ([[https://inspirehep.net/record/213998/files/v15-n3-p99.pdf|Source]]) | ||
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| - | 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> | ||
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| - | <note tip> | ||
| - | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | ||
| - | </note> | ||
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| - | <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 | ||
| - | <tabbox Researcher> | ||
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| - | <note tip> | ||
| - | The motto in this section is: //the higher the level of abstraction, the better//. | ||
| - | </note> | ||
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| - | --> Common Question 1# | ||
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| - | <-- | ||
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| - | --> Common Question 2# | ||
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| - | <-- | ||
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| - | <tabbox Examples> | ||
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| - | --> Example1# | ||
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| - | <-- | ||
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| - | --> Example2:# | ||
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| - | <-- | ||
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| - | <tabbox History> | ||
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| - | </tabbox> | ||
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advanced_tools/cocycles.txt · Last modified: 2018/01/02 14:12 by jakobadmin
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