All Questions
9
questions with no upvoted or accepted answers
6
votes
0
answers
286
views
An interesting observation: Ordered, up and down movement of vortex rings in water
I was watching a video on David Tong's research work when I stumbled upon a peculiar movement of vortex rings in water. Around the 1:20 time mark, Baths and Quarks: Solitons explained, David Tong uses ...
2
votes
0
answers
83
views
Topological solitons in general dimension
Let's begin with a simple model of a field theory:
$$
\mathcal{H} = \int ( \nabla \phi ) ^2
$$
where $\phi$ is an angle valued field defined on some space. We suppose for the moment to freeze out ...
2
votes
0
answers
62
views
Why do vortices scatter at right-angles
I have been taking a course on non-perturbative physics and currently the teacher is away so I cannot ask him.
In the lectures, he made the claim that a pair of vortices in the abelian-Higgs model ...
1
vote
0
answers
140
views
Topological charge change in QFT
Is it possible for the topological charge to change in quantum field theory?
The proofs in the following paper: Quantum soliton operators for vortices and superselection rules
are all based on the ...
1
vote
0
answers
301
views
Mathematical understanding of vortex solitons
I am wondering if anyone has ever come up with a mathematical description of something that (to me, and I am no expert) look like soliton vortexes.
The example I can think of is if you create two ...
1
vote
1
answer
160
views
What is beam confinement?
In the context of the propagation of an electromagnetic wave and optical vortex solitons, I came across the term "beam confinement". Particularly, beam confinement requires the amplitude of the ...
0
votes
0
answers
36
views
How to derive the ODE from the EOM of vortex?
In the Lagrangian mode we have the equation of motion
\begin{align}
\partial_\mu F^{\mu\nu}&=j^\nu. \\
D_{\mu }D^{\mu}\phi +\mu^{2}\phi-\lambda(\phi^{*}\phi)\phi &=0.
\end{align}
Since we ...
0
votes
0
answers
100
views
What is the topology of sine-Gordon equation?
In one pdf on solitons, I am finding the following written
For the sine-Gordon theory, it is much better to think of $\phi$ as a field modulo $2\pi$, i.e. as a function $\phi: R \rightarrow S_{1}$. ...
0
votes
0
answers
41
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Boundary conditions for radial solution of gauged topological vortices
I am following the book Topological Solitons by Manton and Sutcliffe and I am struggling to understand a boundary condition they choose to find the radial solutions of gauged vortices with finite ...