Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results

Details Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results

2008-08-05

arxiv.org/abs/0808.0696v1

Nucl.Phys.B810:527-541,2009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 5 figures

Scientific paper

10.1016/j.nuclphysb.2008.10.001

We consider the semiclassical quantization of sine-Gordon solitons on the circle with periodic and anti-periodic boundary conditions. The 1-loop quantum corrections to the mass of the solitons are determined using zeta function regularization in the integral representation. We compare the semiclassical results with exact numerical calculations in the literature and find excellent agreement even outside the plain semiclassical regime.

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