Current Algebra of Classical Non-Linear Sigma Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages

Scientific paper

10.1007/BF02102634

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.

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