Running coupling expansion for the renormalized $φ^4_4$-trajectory from renormalization invariance

Details Running coupling expansion for the renormalized $φ^4_4$-trajectory from renormalization invariance Running coupling expansion for the renormalized $φ^4_4$-trajectory from renormalization invariance

1996-12-20

arxiv.org/abs/hep-th/9612214v3

Physics

High Energy Physics

High Energy Physics - Theory

14 pages LaTeX2e, typos and references corrected

Scientific paper

10.1007/BF02764214

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.

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