The (1+1)-dimensional Massive sine-Gordon Field Theory and the Gaussian Wave-functional Approach

Details The (1+1)-dimensional Massive sine-Gordon Field Theory and the Gaussian Wave-functional Approach The (1+1)-dimensional Massive sine-Gordon Field Theory and the Gaussian Wave-functional Approach

1998-04-06

arxiv.org/abs/hep-th/9804047v2

Phys.Rev. D59 (1999) 105021

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 11 pages, 8 figures (EPS files)

Scientific paper

10.1103/PhysRevD.59.105021

The ground, one- and two-particle states of the (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 the model-parameter space, the vacuum of the field system is asymmetrical. Furthermore, it is shown that two-particle bound state can exist upon the asymmetric vacuum for a part of the aforementioned region. Besides, 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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