Using local-field theory and the assumption that the commutator is not more singular than $\delta \left(x^2\right)$ and derivatives of $\delta \left(x^2\right)$, it is shown that the Bjorken limit $q_0\to \infty$, q fixed, can be generalized to $\left|q^2\right|\to \infty$, $\left|q_{\mu }\right|\to \infty$, by making the result of the Bjorken limit covariant. If Schwinger terms are present, the Bjorken limit does not determine the leading asymptotic behavior; in spite of this, however, it is possible to show that the leading asymptotic behavior can be obtained from the Bjorken limit if the coefficients of the Schwinger terms are known, and if the amplitude satisfies a divergence equation.

• Received 30 November 1967

DOI:https://doi.org/10.1103/PhysRev.172.1461