Ward–Takahashi identity

The 1950 prepared by John Clive Ward Ward identities, also Ward - Takahashi identities ( also named after Yasushi Takahashi ), are in particle physics equations for quantum mechanical amplitudes which take the place of that have become invalid in quantized theories such as quantum field theory by quantization conservation laws occur.

They are among the most important equations relating to abnormality ( quantum field theory).

The Ward identities must be met to ensure the renormalizability of a quantum field theory.

Examples are the axial Ward identity ( AWI) and the vector Ward identity ( VWI) in quantum electrodynamics ( QED):

VWI:

AWI:

Here are the three-point functions and defined as follows:

And the anomalous terms.

• Quantum field theory
• Particle Physics