Abstract
We consider equal-time commutation relations of chiralSU(N)L×SU(N)R charge densities in the non-linear σ-model. These commutators are derived using the cocycle formalism and from the usual canonical theory. Both methods give the same result. The charge density commutator of the symmetry currents contains operator valued Schwinger terms arising from the Wess-Zumino term.
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