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For instance, in a Non-Abelian Yang-Mills symmetry, where ρ is the charge density,

:[ ho^a( ec{x}), ho^b( ec{y})]=if^{ab}_c\delta( ec{x}- ec{y}) ho^c( ec{x})

where f are the structure constants of the Lie algebra. If space is a one dimensional circle, there may exist Central Extension s.


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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.