Current algebra
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Current algebra is a mathematical framework in quantum field theory where the fields form a Lie algebra under their commutation relations.
For instance, in a non-Abelian Yang–Mills symmetry, where ρ is the charge density,
![[\rho^a(\vec{x}),\rho^b(\vec{y})]=if^{ab}_c\delta(\vec{x}-\vec{y})\rho^c(\vec{x})](../../../../math/6/a/a/6aaa46f28d7c10f2f6cd77a0ce83e141.png)
where f are the structure constants of the Lie algebra. If space is a one dimensional circle, there may exist central extensions.
[edit] See also
[edit] References
- Sam B. Treiman; Roman Jackiw; David J. Gross, Lectures on current algebra and its applications. Princeton Series in Physics. Princeton University Press, Princeton, N.J., 1972. x+362 pp.
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