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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 $\phi: R \rightarrow S_{1}$. ...
Arkaprava Sil's user avatar
1 vote
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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 ...
Bastam Tajik's user avatar
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2 votes
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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 ...
MrRobot's user avatar
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