Forger M., Laartz J., Schaeper U.
Current Algebra of Classical Non-Linear Sigma Models
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ABSTRACT.  The current algebra of classical non-linear sigma models on arbitrary Riemannian
manifolds is analyzed. It is found that introducing, in addition to the Noether
current $j_\mu$ associated with the global symmetry of the theory, a composite
scalar field $j$, the algebra closes under Poisson brackets.