Speaker
Alfredo T. Suzuki
(La Sierra University)
Description
The Ward-Takahashi identity in quantum electrodynamics ($QED_4$) first considered by J. C. Ward and Y. Takahashi, correlates the wave function renormalization for the electron to its vertex renormalization function, guaranteeing the cancellation of ultraviolet (UV) divergences to all orders of perturbation theory.
Since QED in the light-cone gauge is a constrained theory that brings a more demanding UV renormalization program due to the inevitable non-local terms, we check the Ward-Takahashi identity to the one-loop level, using the Mandelstam-Leibbrandt prescription to handle the characteristic light-cone poles that appear in the Feynman integrals.
Authors
Chueng-Ryong Ji
(North Carolina State University)
Alfredo T. Suzuki
(La Sierra University)