Toward a Solution of the Edwards Equation for the Vertex Function of Quantum Electrodynamics in the Region of Large Momenta

Abstract

An asymptotic expression for the vertex function in the region of large momenta in quantum electrodynamics is investigated in the ladder approximation. To formulate a calculational model in the ladder approximation, an iterative scheme has been used to solve the Schwinger–Dyson equation in the formalism of a bilocal source of fields. For the chirally symmetric leading approximation, the Edwards equation for the electron–positron–photon vertex has been obtained in the case of arbitrary values of the photon momentum. Our primary task is to develop a method to solve the vertex equation in the region of large momenta. Nontrivial behavior of the vertex function in the deeply inelastic region of momenta has been revealed.