The renormalized ${\varphi }_4^4$-trajectory by perturbation theory in the running coupling

Abstract

We compute the renormalized trajectory of ${\varphi }_4^4$-theory by perturbation theory in a running coupling. We introduce an iterative scheme without reference to a bare action. The expansion is proved to be finite to every order of perturbation theory.

23 pages LaTeX, Large momentum bound corrected

Cited by in corpus (2)

• The renormalized ${\varphi }_4^4$-trajectory by perturbation theory in a running coupling II: the continuous renormalization group
• Renormalized $g-log(g)$ double expansion for the invariant ${\varphi }^4$-trajectory in three dimensions