Domain Wall Lattices

Abstract

We construct lattices with alternating kinks and anti-kinks. The lattice is shown to be stable in certain models. We consider the forces between kinks and antikinks and find that the lattice dynamics is that of a Toda lattice. Such lattices are exotic metastable states in which the system can get trapped during a phase transition.

4 pages

References in corpus (6)

• The Moduli Space of BPS Domain Walls
• Domain Walls in SU(5)
• Space of kink solutions in SU(N)\times Z_2
• Clash of symmetries on the brane
• A class of kinks in SU(N)\times Z_2
• Kink interactions in $SU(N)\times Z_2$

Cited by in corpus (19)

• Solitons in the Higgs phase -- the moduli matrix approach --
• Webs of Walls
• Could the primordial radiation be responsible for vanishing of topological defects?
• Effective Action of Domain Wall Networks
• Domain walls coupled to matter: the symmetron example
• On formation of domain wall lattices
• Constructing networks of defects with scalar fields
• O(10) kinks: clash of symmetries on the brane and the gauge hierarchy problem
• Construction of topological defect networks with complex scalar fields
• Detecting Domain Walls in Laboratory Experiments
• Kink-induced symmetry breaking patterns in brane-world SU(3)^3 trinification models
• Spontaneous formation of domain wall lattices in two spatial dimensions
• Magnetic monopole - domain wall collisions
• Simulating the symmetron: domain walls and symmetry-restoring impurities
• Domain walls and fermion scattering in Grand Unified models
• Exact BPS double-kinks in generalized ${\varphi }^4$, ${\varphi }^6$ and sine-Gordon models
• Kink Crystal
• Sine-Gordon kink lattice
• Extra-dimensional metamaterials: simple models of inflation and metric signature transitions