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advanced_tools:cocycles
Cocycles
Why is it interesting?
"In field theory and in modern elementary particle theory, cocycles are used to describe anomalies." (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. (Source)
Layman
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.
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
Researcher
The motto in this section is: the higher the level of abstraction, the better.
- Common Question 1
- Common Question 2
Examples
- Example1
- Example2:
History
advanced_tools/cocycles.txt · Last modified: 2018/01/02 14:12 by jakobadmin
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