Analytic structure, renormalization and gauge covariance of the Schwinger-Dyson equations for QED propagator
报告题目：Analytic structure, renormalization and gauge covariance of the Schwinger-Dyson equations for QED propagator
报告人：Dr. Shaoyang Jia
College of William and Mar
The spectral representation of the QED fermion propagator is closely related to the analytic structure of the propagator as functions on the com- plex momentum plane. When combined with the Ward-Green-Takahashi identity, such a representation allows the propagator Schwinger-Dyson equations to be solved directly in Minkowski space with on-shell renor- malization conditions. We further discuss truncations of the Schwinger- Dyson equations for the QED two-point functions to maintain analytic structures, loop-renormalizability conditions, and gauge covariances.