On a conjecture of Wan about limiting Newton polygons

We show that for a monic polynomial $f(x)$ over a number field $K$ containing a global permutation polynomial of degree $>1$ as its composition factor, the Newton Polygon of $fmodmathfrak p$ does not converge for $mathfrak p$ passing through all finite places of $K$. In the rational number field case, our result is the only if part of a conjecture of Wan about limiting Newton polygons.