Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results
High Energy Physics - Theory
2009-02-02 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0808.0696,
title = {Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results},
author = {Michael Pawellek},
journal= {arXiv preprint arXiv:0808.0696},
year = {2009}
}
Comments
20 pages, 5 figures