Breakdown of Current Algebra in Lagrangian Field Theories

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Abstract
It is shown that in a model field theory in one spatial dimension the commutation relations of the usual isospin operators will generally differ from their canonical form provided that the isospin current explicitly appears in the interaction Lagrangian. Although the model is not soluble, it has the important feature of allowing the explicit evaluation of all current commutators without the occurrence of any divergent quantities. Possible generalizations to higher dimensions are briefly discussed.

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