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arXiv · hep-th/9612226

The renormalized $ϕ^4_4$-trajectory by perturbation theory in a running coupling II: the continuous renormalization group

Christian Wieczerkowski
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Abstract

The renormalized trajectory of massless $ϕ^4$-theory on four dimensional Euclidean space-time is investigated as a renormalization group invariant curve in the center manifold of the trivial fixed point, tangent to the $ϕ^4$-interaction. We use an exact functional differential equation for its dependence on the running $ϕ^4$-coupling. It is solved by means of perturbation theory. The expansion is proved to be finite to all orders. The proof includes a large momentum bound on amputated connected momentum space Green's functions.

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Christian Wieczerkowski. 1996-12-23. The renormalized $ϕ^4_4$-trajectory by perturbation theory in a running coupling II: the continuous renormalization group. https://doi.org/10.1016/s0550-3213(96)00694-3

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