TL;DR
This paper revisits the sine-Gordon model by analyzing integrable lattice regularizations using advanced algebraic methods, providing a complete spectral characterization and proving the completeness of Bethe ansatz solutions.
Contribution
It offers a comprehensive spectral analysis of the lattice sine-Gordon model and proves the completeness of Bethe ansatz solutions using Sklyanin's separation of variables and Baxter Q-operators.
Findings
Complete spectrum characterized by Bethe ansatz equations
Proof of the completeness of Bethe ansatz states
Advancement in integrable lattice models analysis
Abstract
We study integrable lattice regularizations of the sine-Gordon model with the help of the separation of variables method of Sklyanin and the Baxter Q-operators. This leads us to the complete characterization of the spectrum (eigenvalues and eigenstates), in terms of the solutions to the Bethe ansatz equations. The completeness of the set of states that can be constructed from the solutions to the Bethe ansatz equations is proven by our approach.
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