Global charges as integrals over densities

For a conserved local current delta /sup mu /j/sub mu /(x)=0 it is shown that the matrix elements ( Psi , j/sub 0/(f/sub r/) Phi ) between localized states Psi and Phi of the smoothed integral integral j/sub 0/(x)f/sub r/(x)d/sup 4/x of the 'charge' density j/sub 0/(x) converge to the corresponding ones ( Psi , Q Phi ) of the associated global 'charge' Q whenever the latter exists, i.e. if the corresponding symmetry is not spontaneously broken. No assumptions about a gap in the energy-momentum spectrum are made. (10 refs).