Anisotropic scaling and generalized conformal invariance at Lifshitz points - art. no. 125702

The behaviour of the 3D axial next-nearest-neighbor Ising model at the unia xial Lifshitz point is studied using Monte Carlo techniques. A new variant of the Wolff cluster algorithm permits the analysis of systems far larger t han in previous studies. The Lifshitz point critical exponents are alpha = 0.18(2), beta = 0.238(5), and gamma = 1.36(3). Data for the spin-spin corre lation function are shown to be consistent with the explicit scaling functi on derived from the assumption of local scale invariance, which is a genera lization of conformal invariance to the anisotropic scaling at the Lifshitz point.