English

Kinks in two-dimensional Anti-de Sitter Space

High Energy Physics - Theory 2009-11-13 v1

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.

Keywords

Cite

@article{arxiv.0911.2421,
  title  = {Kinks in two-dimensional Anti-de Sitter Space},
  author = {J. L. Barnes and D. P. Schroeder and T. ter Veldhuis and M. J. Webster},
  journal= {arXiv preprint arXiv:0911.2421},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T14:10:50.213Z