CONVERGENCE OF QUANTUM ELECTRODYNAMICS IN A CURVED MODIFICATION OF MINKOWSKI SPACE

The interaction and total hamiltonians for quantum electrodynamics, in the interaction representation, are entirely regular self-adjoint ope rators in Hilbert space, in the universal covering manifold M of the c onformal compactification of Minkowski space M(o). (M is conformally e quivalent to the Einstein universe E, in which M(o) may be canonically imbedded.) In a fixed Lorentz frame this may be expressed as converge nce in a spherical space with suitable periodic boundary conditions in time. The traditional relativistic theory is the formal limit of the present variant as the space curvature vanishes.