The renormalized $\phi^4_4$-trajectory by perturbation theory in a running coupling using partial differential equations

TL;DR

This paper calculates the renormalized trajectory of four-dimensional phi-four theory using perturbation theory and an exact renormalization group, presenting a scale-independent formulation.

Contribution

It introduces a novel perturbative approach to the renormalized trajectory employing an exact infinitesimal renormalization group in a scale-invariant form.

Findings

Explicit computation of the phi^4_4 trajectory

Scale-independent perturbative expansion

Application of an exact infinitesimal renormalization group

Abstract

We compute the renormalized trajectory of $\phi^4_4$-theory by perturbation theory in a running coupling. We use an exact infinitesimal renormalization group. The expansion is put into a form which is manifestly independent of the scale parameter.