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arXiv · 0911.2421

Kinks in two-dimensional Anti-de Sitter Space

J. L. Barnes·D. P. Schroeder·T. ter Veldhuis·M. J. Webster
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Abstract

Soliton solutions in scalar field theory defined on a two-dimensional Anti-de Sitter background space-time are investigated. It is shown that the lowest soliton excitation generically has frequency equal to the inverse radius of the space-time. Analytic and numerical soliton solutions are determined in "phi to the fourth" scalar field theory with a negative mass-squared. The classical soliton mass is calculated as a function of the ratio of the square of the mass scale of the field theory over the curvature of the space-time. For the case that this ratio equals unity, the soliton excitation spectrum is determined algebraically and the one-loop radiative correction to the soliton mass is computed in the semi-classical approximation.

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J. L. Barnes, D. P. Schroeder, T. ter Veldhuis, M. J. Webster. 2009-11-12. Kinks in two-dimensional Anti-de Sitter Space. https://arxiv.org/abs/0911.2421

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