Scaling Dynamics of Domain Walls in the Cubic Anisotropy Model

Details Scaling Dynamics of Domain Walls in the Cubic Anisotropy Model Scaling Dynamics of Domain Walls in the Cubic Anisotropy Model

2006-05-04

arxiv.org/abs/hep-th/0605057v1

Phys.Rev.D74:023528,2006

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 12 figures

Scientific paper

10.1103/PhysRevD.74.023528

We have investigated the dynamics of domain walls in the cubic anisotropy model. In this model a global O(N) symmetry is broken to a set of discrete vacua either on the faces, or vertices of a (hyper)cube. We compute the scaling exponents for $2\le N\le 7$ in two dimensions on grids of $2048^2$ points and compare them to the fiducial model of $Z_2$ symmetry breaking. Since the model allows for wall junctions lattice structures are locally stable and modifications to the standard scaling law are possible. However, we find that since there is no scale which sets the distance between walls, the walls appear to evolve toward a self-similar regime with $L\sim t$.

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