Proposition 3.36 . [044D]

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Proposition 3.36.

There exist constants $K_{1},K_{2},K_{3}$ such that the solution to the renormalisation flow equation admits the parametrised representation

\begin{cases}p_{1}=t^{2/3}+\frac{1}{3}(K_{1}+K_{2})t^{-1/3},\\ p_{2}=t^{2/3}+\frac{1}{3}(K_{2}-2K_{1})t^{-1/3},\\ p_{3}=t^{2/3}+\frac{1}{3}(K_{1}-2K_{2})t^{-1/3},\\ \lambda=-\frac{2}{3}t^{2}+\frac{4}{9}(K_{1}^{2}+K_{2}^{2}-K_{1}K_{2})\log t+\frac{4}{81}(K_{1}+K_{2})(K_{2}-2K_{1})(K_{1}-2K_{2})\frac{1}{t}+K_{3}.\end{cases}