Quantum mass correction for the twisted kink

Details Quantum mass correction for the twisted kink Quantum mass correction for the twisted kink

2008-02-06

arxiv.org/abs/0802.0710v2

J.Math.Phys.42:045404,2009

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 2 figures;v2:references and discussion added, typos corrected

Scientific paper

10.1088/1751-8113/42/4/045404

We present an analytic result for the 1-loop quantum mass correction in semiclassical quantization for the twisted \phi^4 kink on S^1 without explicit knowledge of the fluctuation spectrum. For this purpose we use the contour integral representation of the spectral zeta function. By solving the Bethe ansatz equations for the n=2 Lame equation we obtain an analytic expression for the corresponding spectral discriminant. We discuss the renormalization issues of this model. An energetically preferred size for the compact space is finally obtained.

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