Stability of relativistic quantum electrodynamics in the Coulomb gauge

We show that relativistic quantum electrodynamics in the Coulomb gauge satisfies the following bound, which establishes stability: let H(Lambda, V) denote the Hamiltonian of QED(1+3) on the three-dimensional torus of volume V and with ultraviolet cutoff Lambda. Then there exists a constant 0 < mu(Lambda, V) < infinity (the vacuum energy renormalization) such that the renormalized Hamiltonian is positive: H-ren(Lambda,V) equivalent to H-Lambda,H-V + mu(Lambda,V+) 1 >= 0. Published by AIP Publishing.