16–20 Sept 2019
Ecole Polytechnique, Palaiseau, France
Europe/Paris timezone

Ward-Takahashi Identity in $QED_4$ at One-loop Level in the Light-front Gauge

16 Sept 2019, 16:30
25m
Amphithéâtre Sophie Germain (Alan Turing Building)

Amphithéâtre Sophie Germain

Alan Turing Building

Field theories in the front form Parallel 1

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)

Presentation materials