- 07-23 Christoph Kopper
- Continuity of the four-point function
of massive $\vp_4^4$-theory above threshold
Jan 30, 07
(auto. generated ps),
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Abstract. In this paper we prove that the four-point 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 on-shell.
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.