Continuity of the four-point function of massive $\phi_4^4$-theory above threshold
Mathematical Physics
2008-11-26 v2 High Energy Physics - Theory
math.MP
Abstract
In this paper we prove that the four-point function of massive -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.
Cite
@article{arxiv.math-ph/0701071,
title = {Continuity of the four-point function of massive $\phi_4^4$-theory above threshold},
author = {Christoph Kopper},
journal= {arXiv preprint arXiv:math-ph/0701071},
year = {2008}
}
Comments
23 pages; to appear in Rev. Math. Physics few corrections, two explanatory paragraphs added