RUNNING COUPLING EXPANSION FOR THE RENORMALIZED PHI(4)(4) - TRAJECTORY FROM RENORMALIZATION INVARIANCE

摘要

We formulate a renormalized running coupling expansion for the beta-Function and the potential of the renormalized phi(4)-trajectory on four-dimensional Euclidean space-time. Renormalization invariance is used as a first principle. No reference is made to bare quantities. The expansion is proved to be finite to all orders of perturbation theory. The proof includes a large-momentum bound on the connected free propagator amputated vertices. [References: 17]