Anisotropic scaling and generalized conformal invariance at Lifshitz points

Details Anisotropic scaling and generalized conformal invariance at Lifshitz points Anisotropic scaling and generalized conformal invariance at Lifshitz points

2001-03-22

arxiv.org/abs/hep-th/0103194v1

Phys.Rev.Lett. 87 (2001) 125702

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, Latex, 2 figures

Scientific paper

10.1103/PhysRevLett.87.125702

The behaviour of the 3D axial next-nearest neighbour Ising (ANNNI) model at the uniaxial Lifshitz point is studied using Monte Carlo techniques. A new variant of the Wolff cluster algorithm permits the analysis of systems far larger than 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 correlation function are shown to be consistent with the explicit scaling function derived from the assumption of local scale invariance, which is a generalization of conformal invariance to the anisotropic scaling {\em at} the Lifshitz point.

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