Abstract
We formulate a renormalized running coupling expansion for theΒ-function and the potential of the renormalized Φ4-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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Wieczerkowski, C. Running Coupling Expansion for the Renormalized Φ 44 Trajectory from Renormalization Invariance. J Stat Phys 89, 929–945 (1997). https://doi.org/10.1007/BF02764214
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DOI: https://doi.org/10.1007/BF02764214