An illustration of the light-front coupled-cluster method in quantum electrodynamics

A field-theoretic formulation of the exponential-operator technique is applied to a nonperturbative Hamiltonian eigenvalue problem in electrodynamics, quantized in light-front coordinates. Specifically, we consider the dressed-electron state, without positron contributions but with an unlimited number of photons, and compute its anomalous magnetic moment. A simple perturbative solution immediately yields the Schwinger result of \alpha/2\pi. The nonperturbative solution, which requires numerical techniques, sums a subset of corrections to all orders in \alpha\ and incorporates additional physics.