The Sine-Gordon model revisited I

Details The Sine-Gordon model revisited I The Sine-Gordon model revisited I

2009-10-16

arxiv.org/abs/0910.3173v2

J.Stat.Mech.1009:P09014,2010

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, presentation improved, no result changed

Scientific paper

10.1088/1742-5468/2010/09/P09014

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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