445 research outputs found
Knots from wall--anti-wall annihilations with stretched strings
A pair of a domain wall and an anti-domain wall is unstable to decay. We show
that when a vortex-string is stretched between the walls, there remains a knot
soliton (Hopfion) after the pair annihilation.Comment: 10 pages, 6 figures, published version. arXiv admin note: text
overlap with arXiv:1205.244
Incarnations of Instantons
Yang-Mills instantons in a pure Yang-Mills theory in four Euclidean space can
be promoted to particle-like topological solitons in d=4+1 dimensional
space-time. When coupled to Higgs fields, they transform themselves in the
Higgs phase into Skyrmions, lumps and sine-Gordon kinks, with trapped inside a
non-Abelian domain wall, non-Abelian vortex and monopole string, respectively.
Here, we point out that a closed monopole string, non-Abelian vortex sheet and
non-Abelian domain wall in , and shapes, respectively, are all
Yang-Mills instantons if their , and moduli, respectively, are
twisted along their world-volumes.Comment: 17 pages, 3 figures, v2: published versio
Fractional instantons and bions in the principal chiral model on with twisted boundary conditions
Bions are multiple fractional instanton configurations with zero instanton
charge playing important roles in quantum field theories on a compactified
space with a twisted boundary condition. We classify fractional instantons and
bions in the principal chiral model on with
twisted boundary conditions. We find that fractional instantons are global
vortices wrapping around with their moduli twisted along ,
that carry instanton (baryon) numbers for the symmetric
twisted boundary condition and irrational instanton numbers for generic
boundary condition. We work out neutral and charged bions for the case
with the symmetric twisted boundary condition. We also find for
generic boundary conditions that only the simplest neutral bions have zero
instanton charges but instanton charges are not canceled out for charged bions.
A correspondence between fractional instantons and bions in the
principal chiral model and those in Yang-Mills theory is given through a
non-Abelian Josephson junction.Comment: 30 pages, 2 figures. v2: published version. arXiv admin note: text
overlap with arXiv:1412.768
Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
A Josephson junction is made of two superconductors sandwiching an insulator,
and a Josephson vortex is a magnetic vortex (flux tube) absorbed into the
Josephson junction, whose dynamics can be described by the sine-Gordon
equation. In a field theory framework, a flexible Josephson junction was
proposed, in which the Josephson junction is represented by a domain wall
separating two condensations and a Josephson vortex is a sine-Gordon soliton in
the domain wall effective theory. In this paper, we propose a Josephson
junction of non-Abelian color superconductors, that is described by a
non-Abelian domain wall, and show that a non-Abelian vortex (color magnetic
flux tube) absorbed into it is a non-Abelian Josephson vortex represented as a
non-Abelian sine-Gordon soliton in the domain wall effective theory, that is
the principal chiral model.Comment: 19 pages, 3 figures, v2: published versio
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