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Spontaneous formation of domain wall lattices in two spatial dimensions
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Spontaneous formation of domain wall lattices in two spatial dimensions
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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.
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Cited by 1 Pith paper
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Outcomes of Grand Unified Symmetry Breaking
Numerical SU(3) simulations find biased domain walls both absorb and produce magnetic monopoles, so wall collapse can leave residual monopoles and may source GWs or magnetically charged black holes.
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