Kinks in two-dimensional Anti-de Sitter Space

TL;DR

This paper investigates soliton solutions in a two-dimensional Anti-de Sitter space, analyzing their properties, spectrum, and quantum corrections within a scalar field theory with a negative mass-squared.

Contribution

It provides analytic and numerical solutions for solitons in AdS space and calculates their mass and quantum corrections, highlighting the influence of space-time curvature.

Findings

Lowest soliton excitation frequency equals inverse AdS radius

Soliton mass depends on the ratio of field mass scale squared to curvature

Quantum corrections to soliton mass are computed in semi-classical approximation

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.