On Some Properties of Physical Symmetries

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Abstract
It is shown that each symmetry of a field theory with interaction and with a mass gap, induced by a local current, is also induced by at least two other currents, local with respect to the asymptotic free fields and bilinear in these fields. The currents are asymptotic currents in the sense of Araki and Haag [H. Araki and R. Haag, Commun. Math. Phys. 4, 77 (1967)] of the original current. It is also shown that the charges, displaying spinorial transformation character with respect to the Lorentz group, vanish, while the tensorial charges are a linear combination of the scalar charges (internal symmetries) and the energy‐momentum vector (translational symmetry).

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