Spontaneous formation of domain wall lattices in two spatial dimensions

Nuno D. Antunes, Tanmay Vachaspati

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 languageEnglish (US)
Article number063516
Pages (from-to)063516-1-063516-6
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number6
StatePublished - Sep 2004
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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