On the Asymptotics of Nielsen-Olesen Vortices

Abstract

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 the ones quoted in the literature. In particular, it is shown that for values of the Higgs self-coupling that are larger than a critical value, both the Higgs field and the gauge field approach exponentially their asymptotic values with {\it equal} exponents that are {\it independent} of the Higgs self-coupling.

Comments: Accepted in Phys. Rev. D (to appear in the December 15 issue). 5 pages plus 1 figure available from the author. Use Latex