Efficient cluster algorithm for image models Original Research Article

Despite several attempts, no efficient cluster algorithm has been constructed for image models in the standard Wilson formulation of lattice field theory. In fact, there is a no-go theorem that prevents the construction of an efficient Wolff-type embedding algorithm. In this paper, we construct an efficient cluster algorithm for ferromagnetic image-symmetric quantum spin systems. Such systems provide a regularization for image models in the framework of D-theory. We present detailed studies of the autocorrelations and find a dynamical critical exponent that is consistent with image.