Erasure code: Difference between revisions

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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.
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For instance, in a [[non-Abelian]] [[Yang–Mills]] symmetry, where &rho; is the charge density,
 
:<math>[\rho^a(\vec{x}),\rho^b(\vec{y})]=if^{ab}_c\delta(\vec{x}-\vec{y})\rho^c(\vec{x})</math>
 
where f are the structure constants of the Lie algebra. If space is a one dimensional circle, there may exist [[Group extension#Central extension|central extensions]].
 
== See also ==
* [[affine Lie algebra]]
* [[Virasoro algebra]]
 
== 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.
 
[[Category:Quantum field theory]]
[[Category:Lie algebras]]
 
{{quantum-stub}}
{{algebra-stub}}

Latest revision as of 10:11, 28 December 2014

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