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

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

1996-12-23

arxiv.org/abs/hep-th/9612226v1

Nucl.Phys. B488 (1997) 466-489

Physics

High Energy Physics

High Energy Physics - Theory

26 pages LaTeX2e

Scientific paper

10.1016/S0550-3213(96)00694-3

The renormalized trajectory of massless $\phi^4$-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 $\phi^4$-interaction. We use an exact functional differential equation for its dependence on the running $\phi^4$-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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