 0723 Christoph Kopper
 Continuity of the fourpoint function
of massive $\vp_4^4$theory above threshold
(72K, latex)
Jan 30, 07

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Abstract. In this paper we prove that the fourpoint function
of massive $\vp_4^4$theory is continuous as a function
of its independent external momenta when posing the renormalization condition
for the (physical) mass onshell.
The proof is based on integral representations derived
inductively from the perturbative flow equations of the
renormalization group. It
closes a longstanding loophole in rigorous renormalization
theory in so far as it shows the feasibility of a physical
definition of the renormalized coupling.
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