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We evaluate a zero-point quantum correction to a Belavin-Polyakov soliton inan isotropic 2D ferromagnet. By revising the scattering problem ofquasi-particles by a soliton we show that it leads to the Aharonov-Bohm type ofscattering, hence the scattering data can not be obtained by the Bornapproximation. We proof that the soliton energy with account of quantumcorrections does not have a minimum as a function of its radius, which isusually interpreted as a soliton instability. On the other hand, we show thatlong lifetime solitons can exist in ferromagnets due to an additional integralof motion, which is absent for the sigma-model.Comment: REVTeX, 5 pages, 1 figur

Quantum effects for the two-dimensional soliton in isotropic ferromagnets