Properties of high–spin boson interaction currents and elimination of power divergences

Abstract

The problem of the elimination of the power divergences for the interactions of the high-spin bosons (J≥1) is investigated. It is proved that in the consistent theory the high-spin boson interaction currents and the field tensors must obey similar requirements. Therefore the momentum dependencies of the propagators for all the bosons are the same. The partial differential equations derived for some components include the derivatives of order 2J for the currents. Therefore the current components for the spin-J boson must decrease with the momentum |pv| → ∞ at least as |pv|-2J.