2006/06/06 by Han-Xin He, Han-xin He, He, Han-xin · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0606039
12 pages
arxiv created 2006/06/06 · arxiv updated 2009/12/01
I present an approach to derive the full fermion-boson vertex function in four-dimensional Abelian gauge theory in terms of a set of normal (longitudinal) and transverse Ward-Takahashi relations for the fermion-boson and axial-vector vertices in momentum space in the case of massless fermion. Such a derived fermion-boson vertex function should be satisfied both perturbatively and non-perturbatively. I show that, by an explicit computation, such a derived full fermion-boson vertex function to one-loop order leads to the same result as one obtained in perturbation theory.