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advanced_tools:cocycles [2017/06/01 14:51] jakobadmin [Why is it interesting?] |
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 [[quantum_theory:quantum_field_theory:anomalies|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. | ||
+ | |||
+ | 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> | ||