Quantum electrodynamics of relativistic bound states with cutoffs. II
Résumé
In this note, we consider an Hamiltonian, with ultraviolet and infrared cutoffs, describing the interaction of relativistic electrons and positrons in a Coulomb potetial with photons in Coulomb gauge. The interaction includes both interaction of the current-density with transversal photons and the Wick ordering corrected Coulomb interaction of charge-density with itself. We prove that the Hamiltonian is self-adjoint and has a ground state for sufficiently small coupling constatnt