Renormalized $g-log (g)$ double expansion for the invariant $φ^4$-trajectory in three dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, Latex2e

Scientific paper

10.1016/S0550-3213(97)00545-2

We study the invariant unstable manifold of the trivial renormalization group
fixed point tangent to the $\phi^{4}$-vertex in three dimensions. We
parametrize it by a running $\phi^{4}$-coupling with linear step
$\beta$-function. It is shown to have a renormalized double expansion in the
running coupling and its logarithm.

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