On the Asymptotics of Nielsen-Olesen Vortices
Leandros Perivolaropoulos
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 equal exponents that are independent of the Higgs self-coupling.
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