(1+1)-dimensional massive sine-Gordon field theory and the Gaussian wave-functional approach

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Abstract
The ground, one- and two-particle states of (1+1)-dimensional massive sine-Gordon field theory are investigated within the framework of the Gaussian wave-functional approach. We demonstrate that for a certain region of model parameter space, the vacuum of the field system is asymmetrical. Furthermore, it is shown that a two-particle bound state can exist upon the asymmetric vacuum for a part of the aforementioned region. In addition, for the bosonic equivalent to the massive Schwinger model, the masses of the one-boson and two-boson bound states agree with the recent second-order results of a fermion-mass perturbation calculation when the fermion mass is small.

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