S. Theodorakis, ANALYTIC VORTEX SOLUTIONS IN AN UNUSUAL MEXICAN-HAT POTENTIAL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(4), 1997, pp. 4809-4812
We introduce an unusual Mexican-hat potential, a piecewise parabolic o
ne, and we show that its vortex solutions can be found analytically, i
n contrast to the case of the standard \Psi\(4) field theory.