Spontaneous formation of domain wall lattices in two spatial dimensions

Nuno D. Antunes; Tanmay Vachaspati

doi:10.1103/PhysRevD.70.063516

Spontaneous formation of domain wall lattices in two spatial dimensions

Nuno D. Antunes, Tanmay Vachaspati

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 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.

Original language	English (US)
Article number	063516
Pages (from-to)	063516-1-063516-6
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	70
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.70.063516
State	Published - Sep 2004
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.70.063516

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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 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.",

author = "Antunes, {Nuno D.} and Tanmay Vachaspati",

note = "Funding Information: We are grateful to Levon Pogosian for collaboration on earlier projects that led to this work. NDA was supported by PPARC. TV was supported by DOE Grant No. DEFG0295ER40898 at Case. The numerical simulations were partially done on the COSMOS Origin2000 supercomputer supported by Silicon Graphics, HEFCE and PPARC. This work was partially supported by the ESF COSLAB program.",

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AU - Vachaspati, Tanmay

N1 - Funding Information: We are grateful to Levon Pogosian for collaboration on earlier projects that led to this work. NDA was supported by PPARC. TV was supported by DOE Grant No. DEFG0295ER40898 at Case. The numerical simulations were partially done on the COSMOS Origin2000 supercomputer supported by Silicon Graphics, HEFCE and PPARC. This work was partially supported by the ESF COSLAB program.

PY - 2004/9

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N2 - 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.

AB - 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.

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Spontaneous formation of domain wall lattices in two spatial dimensions

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