%0 Journal Article %T Bose-Einstein condensation in self-consistent mean-field theory %A V. I. Yukalov %A E. P. Yukalova %J Physics %D 2014 %I arXiv %R 10.1088/0953-4075/47/9/095302 %X There is a wide-spread belief in the literature on Bose-Einstein condensation of interacting atoms that all variants of mean-field theory incorrectly describe the condensation phase transition, exhibiting, instead of the necessary second-order transition, a first-order transition, even for weakly interacting Bose gas. In the present paper, it is shown that a self-consistent mean-field approach is the sole mean-field theory that provides the correct second-order condensation transition for Bose systems with atomic interactions of arbitrary strength, whether weak or strong. %U http://arxiv.org/abs/1404.4848v1