Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005)
Efficient Cluster Algorithms for CP(N-1) Models
S. Riederer, Michele Pepe A, U.‐J. Wiese, Bernard B. Beard
Abstract
We construct an efficient cluster algorithm for ferromagnetic SU(N)-symmetric quantum spin systems.Such systems provide a new regularization for CP(N -1) models in the framework of D-theory, which is an alternative non-perturbative approach to quantum field theory formulated in terms of discrete quantum variables instead of classical fields.Despite several attempts, no efficient cluster algorithm has been constructed for CP(N -1) models in the standard formulation of lattice field theory.In fact, there is even a no-go theorem that prevents the construction of an efficient Wolff-type embedding algorithm.We present various simulations for different correlation lengths, couplings and lattice sizes.We have simulated correlation lengths up to 250 lattice spacings on lattices as large as 640×640 and we detect no evidence for critical slowing down.