We show that the process of spontaneous symmetry breaking can trap a field theoretic system in a highly nontrivial 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 Lx, Ly of the spatial dimensions. We find that a lattice can form even if R ≡ Ly/Lx is of order unity. We numerically determine the number of walls in the lattice as a function of Lx and Ly.
|Original language||English (US)|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - Sep 2004|
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)