In external non-Abelian gauge vector fields, an anomaly in these relations occurs due to the axial current divergence.
He and Yu proved these relations in a four dimensional one-loop system, and one of their namesakes derived transverse relations between Green's functions that complement these statements by replacing inner products with wedge products. In external non-Abelian gauge vector fields, an anomaly in these relations occurs due to the axial current divergence. Originally used to relate the wavefunction of an electron to its vertex renormalization factor, in general they are relations between correlation functions in a quantum field theory. For fifteen points, name these doubly eponymous quantum analogues of Noether's Theorem, named for British and Japanese scientists.
He and Yu proved these relations in a four dimensional one-loop system, and one of their namesakes derived transverse relations between Green's functions that complement these statements by replacing inner products with wedge products.
{Ward}-{Takahashi Identities}