Spontaneous formation of domain wall lattices in two spatial dimensions

Nuno D. Antunes, Tanmay Vachaspati

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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 [Formula Presented], [Formula Presented] of the spatial dimensions. We find that a lattice can form even if [Formula Presented] is of order unity. We numerically determine the number of walls in the lattice as a function of [Formula Presented] and [Formula Presented].

Original languageEnglish (US)
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume70
Issue number6
DOIs
StatePublished - Jan 1 2004
Externally publishedYes

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domain wall
unity
broken symmetry
traps

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Spontaneous formation of domain wall lattices in two spatial dimensions. / Antunes, Nuno D.; Vachaspati, Tanmay.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 70, No. 6, 01.01.2004.

Research output: Contribution to journalArticle

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