We continue the development of a nonperturbative light-front Hamiltonianmethod for the solution of quantum field theories by considering the one-photoneigenstate of Lorentz-gauge QED. The photon state is computed nonperturbativelyfor a Fock basis with a bare photon state and electron-positron pair states.The calculation is regulated by the inclusion of Pauli-Villars (PV) fermions,with one flavor to make the integrals finite and a second flavor to guarantee azero mass for the physical photon eigenstate. We compute in detail theconstraints on the PV coupling strengths that this zero mass implies. As partof this analysis, we provide the complete Lorentz-gauge light-front QEDHamiltonian with two PV fermion flavors and two PV photon flavors, which willbe useful for future work. The need for two PV photons was establishedpreviously; the need for two PV fermions is established here.
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