Abstract
We examine, at a classical level, the features that distinguish dynamically conserved currents from identically conserved ones. Then we prove that, in four spacetime dimensions, the quantum charges corresponding to identically conserved currents always annihilate the vacuum state. We illustrate our discussion with several examples.
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D'emilio, E., Mintchev, M. Identically conserved currents and their charges. Lett Math Phys 12, 77–86 (1986). https://doi.org/10.1007/BF00400306
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DOI: https://doi.org/10.1007/BF00400306