97-373 C. Wieczerkowski

Construction of the hierarchical $\phi^4$-trajectory (120K, LATeX 2e) Jun 25, 97

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Abstract. We study the invariant unstable manifold of the trivial renormalization group fixed point tangent to the $\phi^4$-vertex in the hierarchical approximation. We parametrize it by a running coupling with linear $\beta$-function. The manifold is studied as a fixed point of the renormalization group composed with a flow of a running coupling. We present a rigorous construction of it by means of a contraction mapping.

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