CONTINUITY OF THE FOUR-POINT FUNCTION OF MASSIVE $\varphi_{4}^{4}$-THEORY ABOVE THRESHOLD
2007 ◽
Vol 19
(07)
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pp. 725-747
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Keyword(s):
In this paper we prove that the four-point function of massive [Formula: see text]-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.
Keyword(s):
2001 ◽
Vol 16
(11)
◽
pp. 2119-2124
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1995 ◽
Vol 10
(21)
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pp. 1543-1548
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2021 ◽
pp. 185-219
1970 ◽
Vol 13
(4)
◽
pp. 431-439
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1994 ◽
Vol 09
(07)
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pp. 1153-1180
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