Questions tagged [sine-gordon]
The sine–Gordon equation is a nonlinear hyperbolic partial differential equation in 1 + 1 dimensions involving the d'Alembert operator and the sine of the unknown function. This equation attracted a lot of attention in the 1970s due to the presence of soliton solutions. It has importance in quantum field theory, topological aspects like soliton, instanton, in the integrable model, and in exact solutions like Beth ansatz.
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Quantum field in momentum basis for zero-mode of the sine-Gordon model
Given the sine-Gordon model where the boson field $\Phi$ is defined with compactification radius $R$
$$\begin{equation}
\Phi(L) = \Phi(0) + 2\pi Rm, \quad m \in \mathbb{Z}.
\end{equation}\tag{A.6}$$
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