It is shown that for gauge-tensor field theories which have their field equations derivable from a variational principle, the assumptions of gauge invariance and charge conservation are equivalent.
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Communicated by C.-C. Wang
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Horndeski, G.W. Gauge invariance and charge conservation in non-Abelian gauge theories. Arch. Rational Mech. Anal. 75, 211–227 (1981). https://doi.org/10.1007/BF00250782
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