Schwinger Terms, Field Algebra, the Parity-Violating Internucleon Potential, and Models of the Weak Hamiltonian

Using the current-field identity, it is shown that the entire vector-meson-exchange contribution to the parity-violating internucleon potential $V_{12}$ derives from Schwinger terms arising from the commutator of the $\Delta S=0\mathrm{}$ $F$-spin currents and the weak Hamiltonian $H_w$. The vector-meson-exchange contributions are evaluated using field-algebra commutation relations and are shown to reproduce the generalized Michel potential. These results are used to express $V_{12}$ as a function of an arbitrary model of $H_w$.