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Volume 374 - Light Cone 2019 - QCD on the light cone: from hadrons to heavy ions (LC2019) - Contributed
Ward-Takahashi Identity in QED$_4$ at One-loop Level on the Light-Front
A.T. Suzuki,* C.R. Ji
*corresponding author
Full text: pdf
Pre-published on: 2020 May 25
Published on: 2020 May 26
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. It guarantees the cancellation of ultraviolet (UV) divergences to all orders of perturbation theory.
Since the QED in the light-front 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-front poles that appear in the Feynman integrals. Our calculations for the vertex correction and inverse electron propagators show that the strict light-front part contributions do indeed satisfy the Ward-Takahashi identity to one-loop order.
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