STABILITY OF ULTRAVIOLET-CUTOFF QUANTUM ELECTRODYNAMICS WITH NONRELATIVISTIC MATTER

We prove that the quantum-mechanical ground state energy of a system c onsisting of an arbitrary number, M of static nuclei of atomic number less than or equal to Z and of an arbitrary number, A', of Pauli elect rons interacting with the quantized, ultraviolet-cutoff radiation fiel d is bounded below by -K . M, where K is a finite constant depending o n Z, on the finestructure constant alpha and on the ultraviolet cutoff Lambda, with K less than or equal to K'Lambda ,as Lambda --> infinity , and K' independent of Lambda.