The paper proves, using only elementary calculus, that Noether currents from local symmetries are always improper, and that covariant and canonical currents differ by an improper current.
Local BRST cohomology in gauge theories
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Improper currents in theories with local invariance
The paper proves, using only elementary calculus, that Noether currents from local symmetries are always improper, and that covariant and canonical currents differ by an improper current.