Self-stress and renormalization group

An intimate connection exists between the vanishing of the self-stress of a particle (at rest), as required by Lorentz covariance, and a unique normalization of a universal function, of relevant coupling constants in the theory, in modern renormalization-group equations. This connection leads, unambiguously, to a correct version of the classic Pais--Epstein result for the self-stress in a self-consistent manner