Kinks in two-dimensional Anti-de Sitter Space

Details Kinks in two-dimensional Anti-de Sitter Space Kinks in two-dimensional Anti-de Sitter Space

2009-11-12

arxiv.org/abs/0911.2421v1

Physics

High Energy Physics

High Energy Physics - Theory

To be published in the proceedings of DPF-2009, Detroit, MI, July 2009, eConf C090726

Scientific paper

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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