Spontaneous formation of domain wall lattices in two spatial dimensions
High Energy Physics - Phenomenology
2009-11-10 v2 Statistical Mechanics
Abstract
We show that the process of spontaneous symmetry breaking can trap a field theoretic system in a highly non-trivial state containing a lattice of domain walls. In one large compact space dimension, a lattice is inevitably formed. In two dimensions, the probability of lattice formation depends on the ratio of sizes L_x, L_y of the spatial dimensions. We find that a lattice can form even if R=L_y/L_x is of order unity. We numerically determine the number of walls in the lattice as a function of L_x and L_y.
Cite
@article{arxiv.hep-ph/0404227,
title = {Spontaneous formation of domain wall lattices in two spatial dimensions},
author = {Nuno D. Antunes and Tanmay Vachaspati},
journal= {arXiv preprint arXiv:hep-ph/0404227},
year = {2009}
}
Comments
6 pages, 6 figures. Background material added and minor corrections included. Final version to be published in Phys. Rev. D