arXiv:hep-lat/0602018·v1·High Energy Physics — Lattice
Efficient Cluster Algorithm for CP(N-1) Models
B.B Beard (Christian Brothers U.)🇺🇸 · M. Pepe (INFN-Milan & Bern U.)🇮🇹 · S. Riederer🇨🇭 · U.-J. Wiese (Bern U.)🇨🇭
Abstract
Despite several attempts, no efficient cluster algorithm has been constructed for CP(N-1) 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 SU(N)-symmetric quantum spin systems. Such systems provide a regularization for CP(N-1) models in the framework of D-theory. We present detailed studies of the autocorrelations and find a dynamical critical exponent that is consistent with z = 0.
Comments: 14 pages, 3 figures