%0 Journal Article %T The existence of a quantum phase transition in a Hubbard model on a square lattice %A Valentin Voroshilov %J Physics %D 2014 %I arXiv %X A novel canonical transformation is offered as the mean for studying properties of a system of strongly correlated electrons. As an example of the utility of the transformation, it is used to demonstrate the existence of a quantum phase transition in a Hubbard model on a square lattice. An Appendix presents two cases with a negative result. %U http://arxiv.org/abs/1404.3140v2