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--- advanced_tools:cocycles [2018/01/02 13:12]
+++ advanced_tools:cocycles [2018/01/02 14:12] (current)
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+====== Cocycles ======
+<tabbox Why is it interesting?>
+"In field theory and in modern elementary particle theory, cocycles
+are used to describe [[advanced_notions:quantum_field_theory:anomalies|anomalies]]." ([[https://inspirehep.net/record/213998/files/v15-n3-p99.pdf|Source]])
+-cocycles are used to understand anomalies in the Lagrangian framework. The 1-cocycles show up in the non-conservation of classically conserved currents.
+-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>
+<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>
+<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>
+<note tip>
+The motto in this section is: //the higher the level of abstraction, the better//.
+</note>
+--> Common Question 1#
+<--
+--> Common Question 2#
+<--
+<tabbox Examples>
+--> Example1#
+<--
+--> Example2:#
+<--
+<tabbox History>
+</tabbox>

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