Asymptotic properties of the solutions of a differential equation appearing in QCD

Details Asymptotic properties of the solutions of a differential equation appearing in QCD Asymptotic properties of the solutions of a differential equation appearing in QCD

1996-01-25

arxiv.org/abs/hep-th/9601140v1

Nucl.Phys. B478 (1996) 598-604

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, latex

Scientific paper

10.1016/0550-3213(96)00427-0

We establish the asymptotic behaviour of the ratio $h^\prime(0)/h(0)$ for
$\lambda\rightarrow\infty$, where $h(r)$ is a solution, vanishing at infinity,
of the differential equation $h^{\prime\prime}(r) = i\lambda \omega (r) h(r)$
on the domain $0 \leq r <\infty$ and $\omega (r) = (1-\sqrt{r}
K_1(\sqrt{r}))/r$. Some results are valid for more general $\omega$'s.

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