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arXiv · hep-th/9612214

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

Christian Wieczerkowski
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Abstract

We formulate a renormalized running coupling expansion for the $β$--function and the potential of the renormalized $ϕ^4$--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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Christian Wieczerkowski. 1997-09-24. Running coupling expansion for the renormalized $ϕ^4_4$-trajectory from renormalization invariance. https://doi.org/10.1007/bf02764214

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