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

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We compute the renormalized trajectory of $ϕ^4_4$-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.
39 pages LaTeX2e, some misprints corrected

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