ASYMPTOTICS OF NIELSEN-OLESEN VORTICES

We,investigate analytically and numerically the asymptotic behavior of the Nielsen-Olesen vortex solutions and show that they approach their asymptotic values exponentially but with exponents that differ from t he ones quoted in the literature. In particular, it is shown that for values of the Higgs self-coupling that are larger than a critical valu e, both the Higgs field and the gauge held approach exponentially thei r asymptotic values with equal exponents that are independent of the H iggs self-coupling.